i need to do more research but i've read that a substantial amount of Bahamians are descended from African Americans and Haitians.
Correct on both counts. Plantation owners who were loyal to the British left America after the Revolutionary War. The African Americans from their plantations were taken with them as they went to the British controlled colonies in the Caribbean. Many AAs ended up in the Bahamas.
The wave of AAs mentioned in OP would have been around 40 years after the much larger wave of the 1780s. Both waves were from roughly the same parts of America,
Haitian descended population is from migrant workers who have landed in the Bahamas over the centuries.
https://www.thecoli.com/posts/34991738/
The world's most famous Bahamian, Sidney Poitier, is said to descend from Haitians. He spoke briefly about it in his auto/bio. There are no records of that surname in Bahamian record archives.