It all depends on how popular the beach is. As with any popular beach, you'll probably be able to find a spot...it just may be a little close to your neighbor. If you walk a bit further from the crowded areas you're bound to find your own little spot to lay out.
Destination360 has a list of
Bahamas Beaches that may help you get a better idea of which beach is more populated than others so you can plan which beach is better.