Been doing the Bahamas plenty of times with 5 1/2 feet draft. (Loaded)
Have also ran aground plenty of times.
Not really a problem however.
The draft is not important for getting close to the beach.
Ya wanne stay away from the beach for bug-control: I usually anchor in 10 to 15 feet of water regardless.
(Whenever I see the ads for shallow draft boats anchored all the way up on to the beach I shudder: Doesn't squalls ever blow up in the ads? Those boats would be on their side, high and dry after a 20 minutte squall snorting @ 45 knots.
)
Bimini has now been dredged and the new channel is well marked, ya can carry 10 feet into North Bimini these days.
Never had a problem in the Berrys or the Exumas either.
(Never been to the Abacos)
So, there is not a problem really.