OK, I hate seeing your thread left unanswered, but I'm not going to answer it for the same reason (I would guess) that no one else did; lack of sufficient information. It's like asking "how far is it between two mountains?" It depends on which mountains. It depends on what your circumstances are. Do you want the fastest
route, the safest route, or the most scenic route? Do you want to stop or go straight through? What time of year (very important...)? Where on the NE coast of
Cuba (technically, the NE-facing coast of Cuba is more than 400 nm long)? Where in the
Exumas (again, around 150 nm long)?
Roughly speaking, you have about 3 "standard" choices: 1. through the NW Providence
passage, then skirting the
west coast of the
Bahamas; 2. across the Banks via the NW Channel to Cat Cay and then south; 3. SE around
Long Island and out into the Old Bahama Channel. If you're feeling lucky you can cut further SW across the banks instead of going out through Cat Cay, or you can go down the Tongue of the Ocean and cut across the OBC, but just remember that not every rock,
head, and sandbar is charted in the
Bahamas...
If you leave a little more information, it will probably get you a lot more responses.
Best wishes, Pete