[Roosh]

Has anyone able to do this? No one they can prove you overstayed if you don't have a stamp.

Relevant:

My passport was not stamped upon entry to France. Does that mean I can just stay indefinitely?

No passport stamp entering Italy

Another guy here said he didn't get a stamp crossing Croatia to Slovenia via bus.

So pop into Italy for a week, high-tail it to wherever, then go back out through Italy when it's time to go. It will increase travel cost, but probably cheaper and less headache than getting a legal residency permit.

I also get the feeling that they want to know you have a return ticket. So say you're staying for a week, get no stamp, then your way across Europe at your leisure.