Couple of suggestions.
You need to develop a solid set of criteria for country choice and narrow down the possibilities. Several posters on this thread have made good points about various countries.
Additionally, I would shoot for a country which already has a Euro/North American expat community. That way, you won’t ‘stand out’ so much.
You might also go check out the Heritage Foundation’s (I know - I know - hold on just a sec) Index of Economic Freedom on the web. Each country is ranked according to specified criteria, and many of those criteria are bulls**t. For example ‘freedom from corruption’ scores many 3rd world countries low, but the USA high. Well, sorry but the USA is one of the most corrupt nations in the world, assessed properly (two words: asset forfeiture - would rather pay a cop off in Mexico during a traffic stop than lose a car because a cop said he ‘smelled marijuana’). In fact, I would discount most of the categories, and focus on one: ‘freedom from government’. As an example, Costa Rica scores an 87.4%, whereas the good ole USA scores only 59.8%. The other one that will matter to you is ‘property rights’, but this one you have to judge carefully. Again as an example, Costa Rica scores 50% (by way of comparison, the USA gets 90%), but that’s mostly because there have been cases where absentee landlords (usually foreigners) bought land and left it sitting empty and unused for years or even decades, whereupon squatters moved and and mixed their labor with it, and the courts found in the squatters’ favor. I think John Locke would have approved, though most Americans - probably including most libertarians - are shocked by such goings ons. So be careful with that one.
At any rate, that’s all I can think of at this point - narrow down that list. Oh, you might also consider that St Kitts and Nevis in the Caribbean is the last country on earth where you can purchase citizenship. $250k invested in, say, a house, will net you a passport. IMO, if you are going to expatriate, go all the way. Go for citizenship and sever the ties with the IRS and the US govt once and for all. Just be aware that there is now - as of June - an exit tax in place to which you will need to come to terms. But that applies even to expats who keep their US citizenship, methinks.
Countries to look at seriously, IMO:
Costa Rica
Ecuador
Belize
Panama
I don’t know about Europe or Africa. Would steer clear of Asia, except maybe Thailand, which is beautiful and friendly, but a bit sketchy lately, politically.
Oh, one more thing: have a plan B.