I think China would be a terrible choice. For one thing you need a visa to gain entry and that takes a couple of weeks to get minimum. Plus your visa is only 90 days max. Really, they have no interest in sheltering Americans from the U.S. government.
I often see people online speculating about where a criminal could run to escape the U.S. justice system. But the reality is it's very difficult except in some special circumstances. In most cases, you'll be stopped right at the border and sent home.
Even Cuba has refused entry after receiving an Interpol notice.
Maybe if you have crazy amounts of money and can bribe the right people, but I'm talking a net worth in the high 8-figures, at least. Or if you have ties to the country, like you were born there. Or if there's geopolitical implications (like in the Snowden case). Or sometimes countries won't extradite to the U.S. if the death penalty is on the table.
I think the best bet would be to somehow sneak into the country and then stay off the grid. Basically, live like an undocumented immigrant, doing menial work for cash. How many Americans do you think would really be able to survive like that, especially if they previously lived a comfy middle-class lifestyle back home?