Galveston Island Barbecue BBQ Barn & Burgers 5703 Stewart Road Phone: (409)740-2783 BBQ Barn & Burgers offers a selection of smoked meats including brisket, turkey, ribs and sausage. Leon's Finest In & Out Barbecue House 5427 Broadway Phone: (409)744-0070 Genuine Texas pit barbecue. Dine-in or take out. Queen's Bar-B-Que 3428 Avenue S Phone: (409)762-3151 Oak and Pecan-smoked barbecue beef, brisket, pork, ham, link sausage, and turkey, sandwiches and bakedpotatoes. Dine-in or take out. Texas Pit Stop BBQ 6612 Seawall Blvd. Phone: (409)744-2222 Los Vaqueros clinched the Triple Crown Trophy title – awarded to the best overall barbeque in Galveston County - FIVE out of seven years the team participated!