I cannot answer your query about the Bahamas and drone laws, but, for information of others, I have just returned from a cruise around the Caribbean. and got to use my Mavic several times, the only place I was aware of anti-drone rules was on the Isle of Barbados (which was our port of entry from a flight from Gatwick) .
The wind was very strong on all the Islands!!, no wonder they call it "The Windy's" (West Indies). Got to fly the Mavic on Antigua, The Turks & Caicos, Grenade, with no problem.
My Mavic Combo bag was with me every trip ashore, and not once was I stopped by the Security (who X rayed all my bags, when I returned from shore trips) at the Ships Gangplank.
All I would say is be wary ,where ever you fly, they have a load of National Parks/Gardens and have a zero tolerance level and (I would say) would not flinch at seizing your Mavic.
My solid advice is to find a quite spot to hide, and go for it !!
great views to be had !!.
(Video/Stills to follow, when I have unpacked, LOL !!!)