Abaco Islands
This is a small chain east of Grand Bahama. It's about an hour flight out of Fort Lauderdale or West Palm beach.
It has deserted islands east of great abaco island that you can hop out and explore. These are cays that form the eastern edge of the Sea of Abaco, which lies between Great Abaco and the cays. The Sea of Abaco is easily navigable on a DIY basis or you can hire a boat and captain to cruise you around either for the entire time or on a daily basis. We've always rented a house, but I know people do cruise it also.
This is one of the few places I've found that will actually allow you rent a boat, which is why I went there in the first place. This is due to the Sea of Abaco, which is fairly protected, uniformly shallow @ around 15ft, reasonably easy to navigate (plenty of maps available) and full of other folks if you get your ass in trouble (worst case, it's shallow so you can toss an anchor out and get on the radio). We rent a boat, fish, dive, island hop etc.
There are also great beach houses for rent both on Great Abaco and the outer Cays. If you don't care about being right on the beach housing gets less expensive. I've stayed at a few and could recommend a couple, based on what you are looking for in terms of location, atmosphere, proximity to civilization etc. For instance, Great Guana Cay is party Central, Lubber's Quarters is for fishermen (beaches suck, more like reef than sand), but super close to the deep stuff for marlin and other big daddy gamefish, Green Turtle Cay is a good balance wiith a small town, plenty of bars, restaurants, great beaches and easy access to fishing, diving, boating. We've stayed on Great Abaco also, but have kind of migrated to the outer keys.
I don't know what you guys are looking to do, but you can fish (DIY or hire), dive (great, clear water and a huge barrier reef), chill on some of the most pristine, deserted beaches you will find in this hemisphere, or party like a rock star.
we've done all of that, and then some in several trips to the Abacos at this point. High season is Juneish, with a sailing regatta going on or some such shit. It's also calmer in terms of wind and seas and the mahi and sailfish are running. December, Jan, Feb is low season. Less people, but more wind, which can be a ***** if you're looking to DIY cruise or fish or whatever.
see this forum abacoforum.com for more info. If you have questions just post them there. Someone will answer them, or PM me. I love the Abacos......