I flew in/out of Freeport and Nassau many times in my airline days. Closest mid-air collision I ever had was shooting a VOR approach into Nassau. We pop out of the clouds (in a 737) and almost ran over an Aztec who was in front of us!
We went missed approach and the tower "claimed" that the Aztec had a broken radio and yet 30 minutes later we seem him load up his pax and taxi back out!!
The point I'm making is that their "ATC" system leaves a LOT to be desired and that as others have warned, there are many shady operators down there........ I think back to some of the things that I "did" in order to build time (not drugs, but more of safety related stuff.....overweight takeoffs, etc) and I still shake my head.......
What you will find there are runways that have lots of potholes, lights that don't work, nav/aids that work only sometimes, poor wx reports, maybe fuel, maybe not and on and on....... I'm sure that the "novelty factor" would wear off pretty quickly...... But building time isn't always a bowl of cherries!
The Bahamas is a gorgeous country and I spend a lot of time there each summer on my boat. You'd be very WISE to find out exactly what you are getting into there before even getting near an airplane! If you want to read a fascinating book about flying in the Bahamas get a copy of "The Island Airman" by Paul C. Aranha.
I have a good buddy who flew 402s over there for 3 years after getting laid off at Eastern and Pan Am and his stories rate from hilarious to downright scary! He doesn't EVER want to go back there again!
Good luck!