Hey there 5555upstate,
Sorry for the late response, but I wanted to hop in here to see how I could help. Definitely understand wanting to know if the Nest Protects work in the Bahamas so that you can keep everyone safe, and I'm happy to look into this.
They should work fine, but keep in mind the humidity and condensation may mess them up a bit because of the sensors that they have. So while they will work, I can't say for certain that they won't have issues due to the humidity.
Please let me know if you have any further questions or concerns.