The expensive travel period of July in South America typically ends early August. 2016 is a special year due to the Summer Olympics! So if you wait till August..well..those same expensive flights within Latin America will carry over into the next month because of the games.
If you are intent on living in South America and doing travels within the continent, you could maybe wait till September (if that's a possibility). If you want to live in South America and stay within one location while doing bus travel to other cities, then sure June/July 2016 would be good.
The advantages of traveling within Europe June/July 2016 are: 1) later sunsets for daygaming 2) local women in any given city possibly being in town and 3) getting to meet student tourists that opt to travel late June and July, which are cheaper months than say August.
If you are intent on living in South America and doing travels within the continent, you could maybe wait till September (if that's a possibility). If you want to live in South America and stay within one location while doing bus travel to other cities, then sure June/July 2016 would be good.
The advantages of traveling within Europe June/July 2016 are: 1) later sunsets for daygaming 2) local women in any given city possibly being in town and 3) getting to meet student tourists that opt to travel late June and July, which are cheaper months than say August.