There is also a Pueblo supermarket and a larger gourmet gallery in the Havensight area which is closer to your hotel.
ABI beach bar is very close to BBBclub - Hull Bay Hideaway is over on the Northside and is a very good fish shack/beach bar - with a rental jeep explore some of the West end of STT [ Brewers beach, Mermaids Chair, Bordeaux farm market, Stumpy Bay] - both Magens Bay and Lindbergh Bay have good beach bars that are better on non cruise ship days to visit.