Interesting that I found this thread. I'm kind of surprised at the amount of people knocking the OP's idea.
You should seriously consider your idea - not necessarily because it would be cheaper (although it certainly can be) - but because it's a good experience to get out of your comfort zone and immerse yourself in another culture.
If you have to grind 12 hour days to make the stated income, however, you might want to wait until you can survive on say, 4 to 6 hours of playing per day. Grinding out in some hot and humid shack just so you can say you pay $200 a month for rent doesn't sound like much fun.
Make sure you have a good amount of cash (in the bank, not
pokerstars!) for emergencies.
There's also the issue of staying in a country legally. It seems that most countries that I've researched make it easy to stay for up to 90 days at a time. Getting permanent residency generally requires a decent amount of cash in a local bank account (I believe it's $50k in Costa Rica) and a bunch of red tape.
I would research some locations, pick a spot that suits you, and plan on going for 3 months or so. If you love it you can work on getting residency, there are always ways. Otherwise, go home and take the experience with you.
I'm spending 3 months in Phuket, Thailand next year. I was able to find a modern condo with a pool and ocean views for $650 a month. You can find something simple but decent for half that. Another place I was considering was Belize, which I might do a year or so after I return from Thailand.
Having the ability to support yourself playing online poker is an incredible thing, don't waste the opportunity by doing what everyone else does.