Which of these countries one can easily move to? Most countries have relatively strict immigration policy, and if your plan is to overstay tourist visa, they might just deport you home, despite no extradition agreement.
No one is going to give you advice on how to break the law, but a google search doesn't come up dry on nations full of illegal immigrants that tend to be overlooked unless they commit some grave crime or have a very serious political enemy. It's also worth knowing that strict immigration law and power of the government to enforce it don't really go hand in hand in many shitty 3rd world countries, and in some countries the law really only extends to bigger cities where federal police have power.
My point is that if your plan is to fly under the radar, existence or lack of extradition agreement with US is not really relevant: if you immigrate illegally to escape prosecution, lack of extradition agreement won’t help you much, because if US finds you there and asks for you back, most countries will deport you for breaking immigration laws, without even involving extradition process.
