I was in the Bahamas for a brief stay earlier this year yes of course if you go to the beaches there will be pritzus but there is much culture to see and enjoy and fun activities that do not involve the beach.
Eeees and I went to St. Thomas (and St. John) a number of years ago. The people on the island dress fairly conservatively away from the beaches (certainly no worse than you would find in any major metropolitan city on the mainland). We had a great time and brought our own meat (other kosher staples were available there). As for swimming, we had our own private pool, so going to the beaches was not a concern for us.
The Wolf