We were Oct 16-24th (so obviously right at the start of the season) and it was wide open (except for Christmas Cove which was full). Here is what we saw:
Caneel/Honeymoon/Scott Bay ~ Maybe one quarter of the balls taken
Maho/Francis ~ about one fifth taken
Leinster - only one ball was taken the day we were there
Great and Little Lamshur - we were the only ones in both that night
Salt Pond - there were 2 of us there
Hawknest was pretty wide open