We last sailed the Abaco's with a 6' draft and were able to go everywhere we wanted. Some places you must plan for the tide, like White Sound Green Turtle and Little Harbor. Sailing in the sound N of Whale Cay isn't a problem with the draft although as with any boat you need to be aware of the various banks.
IMHO any draft can be a problem someplace. I've a friend that ran aground with a Hobie Cat; Was up on one hull and when he finally slowed enough that it dropped back in the water he said he had to haul it in inches of water 1/2 mile to be able to go again.
Go Slow
Sail Far
Stay Long