Like Mark said, check with the locals. They will know what works on that island, and will likely have a brother-in-law or cousin who can help.
We found customs duty in the Bahamas to be pretty much a non-issue. Not too long ago Bahamas reduced the import duties for most things to a pretty trivial amount, and in our experience officials don't bother even checking paperwork on most deliveries.
Foxtown, Little Abaco, Bahamas