Modern decorative ornament inspired by Bahamian beaches.
I would put Bahamian rum cake on the list for Bahamas because it is the kind of thing that feels useful once you are home, not just another airport purchase. Look for a boxed version with a decent date on it, especially if you are buying it near the start of the trip rather than at the airport. The reason it works is that it gives you a quick reminder of the trip without needing to keep a fragile ornament safe forever.
When I think of an easy, crowd-pleasing thing to bring back from Bahamas, straw market woven bag is a good pick because it does not need much explanation when you hand it over. The trick is to choose the simple, well-made version. Small craft items look better on a shelf when they are not too shiny or mass-produced. I would rate it higher when it is locally made, clearly labelled and easy to use at home, and lower when it is just tourist packaging.
Bahamian hot sauce is worth adding because it feels like something you actually noticed while travelling through Bahamas, rather than a generic souvenir. The best version is usually the sealed jar, tin or packet from a normal supermarket, spice stall or food hall, not the most expensive tourist version. The ideal version is modestly priced, not too bulky, and good enough that you would buy it again even without the holiday memory.
This is exactly the sort of thing I like bringing back from Bahamas: small enough to fit in a bag, but specific enough to remind you where you bought it. The best version is usually the sealed jar, tin or packet from a normal supermarket, spice stall or food hall, not the most expensive tourist version. It is also the kind of thing you can talk about when someone asks what you brought back, because there is usually a little story attached to where you found it.