Charter a boat and cruise around the area, or take a local flight to Staniel Cay, then rent a cottage overlooking the water. Nearby is the Thunderball Ball Grotto from an early James Bond movie. Good swimming and snorkeling in the grotto.
Last time I rented a cottage there, it came with a 17 foot boat.
Use the boat to visit a beach with swimming pigs. (Enter that in Google and see the pictures)
The pigs are nasty, smelly and noisy, but the tourists feeds the pigs and try to pet them. (Don't, they bite
)