Hi Sasha ...I am in a similar situation as you.... let me know if you get any responses
I want to run a boating based tourist business down there... but just don't know where to begin....
here are some of the questions I am trying to get answered 
I have the ability $$$$ (within reason), I work for myself, to possible buy something in the bahamas... and have always dreamed of doing so.. maybe not for permamanent residence, just part time....
what island do you want go to ? nassau, bimini exuma or...
most importantly why do you pick it? that is my hardest problem.. do I want a semi secluded , and cheaper place on an out island, or go with Nasssu where there is more activity.. but also more $$$...
what do you do regarding security when you aren't around? do you rent out your property when not using it?
are there taxes, fees , or whatever to come and go?
If I buy a "fixer upper" how available / more expensive are materials?
what is day to day life down there really, really like?
Paul