A draft of 5' 6" will have some, but not severe impact on where you can go in the Bahamas. The entrance to Hopetown and Man o War Cay will be tight at low tide but once inside, no problem. You probably can't get in to Little Harbor but you can anchor outside. You probably will have to take the outer moorings at Great Guana. Treasure Key will be ok.
Go for it.
David