I realize that this is a thought experiment, but don't confuse time and money with better game. Game is built by laying brick after brick, but time and money can speed up the laying process
That said, there are a few areas of study you want to tackle. Don't feel obligated to read this all at once. Skim, browse, take what is useful and discard the rest.
Internal Game - Making sure you know, logically, what the fuck to do. Then having the cajones to go do it.
Go buy a few of Roosh's books. His advice has taught this old dog some new tricks and his writing style is highly engaging. Day Bang changed me as a human being. Read them every month or so to keep your head in the game. I find that I get rusty after a while and need to refresh the concepts I'm meant to be improving.
Once you have some idea of what you're doing game-wise, go put in the time. Until you have a good concept of what will and won't work for you, just imitate the behaviours of those who are what you aim to be. Be process-oriented but set up specific milestones and goals within the 12 months just so you have a yardstick to measure your cock (i mean progress). If you're working on a long timeline like this, aggressive goals will keep you hungry as long as you don't let them intimidate you.
Outward Appearence
Attraction happens in milliseconds. You can talk your way
out of attraction by being a dumbass, but being hot is probably the best hedge against being a moron I can think of. It's much harder to talk your way
into attraction. As long as you are not overweight and know how to dress yourself, you'll be OK. Being hot is the best game there is, and will put you in many favorable positions. Verbal game only helps seal the deal that's already on the table. Looking good and being healthy also makes you feel good, and that healthy confidence radiates quite obviously. Being in great shape is strictly upside, so do it.
Get your body right. If you don't have 6-pack abs, that's OK. Just get to work. I don't have 6-pack abs. I'm like 10-15lbs overweight, but I still have visible musclature, a jaw line, etc. I'm in better shape than most, even though I still consider myself overweight (6'1, 195lbs). This is a whole other can of worms, but carbohydrate restriction and a lot of slow walking melts fat off my frame like nothing else - not even heavy cardio + strength training! I used to weigh 260, and now my former corpulence is confined to a small flabby belly. I'm not hot, but I'm in reasonble shape and my face isn't fuck-ugly. You'd be surprised how well 'just above average' works. Measure your progress by recording body fat percentage and total body weight daily. I can reccomend a good scale that will do this, its cheap and simple to use. You can also measure your progress by noting the number and hotness of girls that stare at you when you walk by
I knew I'd hit a tipping point when I dropped below 220. I caught girls staring constantly and didn't know why. It took a clued-in female friend to point out to me that I was no longer the Fat Kid and in fact, was a reasonable looking chap.
Get your wardrobe and style in order. If you have Money Like Dat, call up G Manifesto and have him take you shopping for 3000 dollar suits. Otherwise, scale back appropriately. If you're poor, or maybe you're still in the seed stage of your location-independent business, do not be too proud to hit up thrift stores. I have found some otherworldly stuff at Salvation Army. Expensive, brand-name stuff. Brooks Brothers, DKNY, Calvin Klein, etc. I even found a vintage 100% wool pinstripe suit from the 60s that fits me flawlessly. Thrifting is hit-or-miss, and you might feel like a lamer doing it, but there's no better feeling than being complemented on an outfit full of name brands that cost under 20 dollars to build.
The Process - If you can't describe your exact methodology to meeting women, you're fucked. I know mine. I put on a specific kind of clothing, pop on headphones to get relaxed and introverted, and observe people for about 30-45 minutes to get used to reading body language and only body language. Once I feel i'm in "prowling" mode not "hunting" mode, I post up somewhere like a coffee shop and begin conversations with anyone i can. I practice talking like an old guy, asking about everything (nothing personal) and being a tiny bit overbearing. This way, when I see a girl I want to meet its just a natural extension of my chatty and fun day out! I know how to steer the conversation towards things I like to discuss (travel!) and away from things that I dont want to discuss (my job or hers). I have a series of 'stock' answers to questions I get asked all the time (No need to reinvent the wheel) and begin with the close in mind.
From the moment I leave my house until the moment I'm with the girl I wanted to meet, the entire process is methodical. I just have to fill in the variables, correct on the fly and make sure I handle logistics. It's not rocket science, but it requires discipline and time.
If you are not process-oriented in your game, make a commitment to a 30-day challenge or something similar and try to focus on a specific action or skillset each day / week / month. My current focus is rambling, elderly day game backed up by a top-tier physicality. I'm getting closer to 'acceptable' every day, but it's a constant process that needs adjusting. If you don't have a process, you're throwing shit at a wall and hoping it sticks. With a full year of dedicated effort, you could try almost every different line of play and generate massive amounts of data on what does and does not succeed for you.
Travel - This part takes money and time, and should only be done when you are stone-cold capable of talking to anyone, anywhere, about anything. Travel makes everything harder, but it also makes you into the best man you'll ever be. If you're new to game, just chill at home for the first 6 months and grind your mind, body, and soul. Then head abroad for a couple weeks, come back, recover, and just start taking longer and longer trips. The time alone on the road will help you think and break out of old habits, and its a great time to read some game stuff to practice at your next destination...or even on that plane/train/bus!
Travel is hard, but it has its advantages. Game is about self-improvement, not 'getting girls'. Travel will teach you more about yourself in a day than you'll learn in a month at home. Do it, and often, but don't push yourself into it until you're able to game successfully at home. It makes things harder, not easier!
Get A Mentor - This one is tough. Most guys can't teach you a damned thing about women, but if you spend enough time with those who are talented you will naturally adopt many of their mannerisms. You don't need to cut RSD a check for x thousand dollars when you could just hit the bar with your attractive and charismatic friend, shut the fuck up, and listen/watch what he does. Then do that. If he can spout theory or is an experienced gamesman, even better, but avoid talking theory on the floor. That time is for talking to girls, not boys! Find someone local, who is a friend, who you can go out with a few times a week.
In summary: Game matters far far less than just being an awesome person. If your body is good, your mind is at peace with the life around you, your finances are in solid shape, you can dress nicely and can talk to anyone about anything anywhere, you don't need 'game'. It helps to understand the tactical and strategic parts, like the raw knowledge that roosh drops in day bang. The bottom line is, a good-looking, well-dressed man with no fear of talking to anyone is either getting more pussy than the ASPCA, or he's not interested in meeting women. You don't need a dedicated year to do this either. A couple hours a day, a few times a week, will get you there.