Combine meat, Worcestershire sauce, garlic, hot sauce, salt, and pepper; mix well.
Divide meat into 12 equal portions; shape each portion into a 4-inch pattie. Sprinkle one-sixth of cheese on each of 6 patties. Place 1 teaspoon butter on top of cheese. Top each with 1 of the remaining 6 patties. Press edges of filled patties together to seal. Wrap a slice of bacon around each cheeseburger, and secure with a wooden pick.
Grill over medium coals 12 to 15 minutes or until desired degree of doneness, turning patties and brushing frequently with barbecue sauce.
Place 1 cheeseburger on bottom of each bun. Top each with lettuce leaf, onion, tomato, and pickle slices, and 1 teaspoon each of mayonnaise, mustard, and catsup. Cover with tops of buns.