2-1/2 to 3 lb boneless pork shoulder roast
1 Cup chopped onion
3/4 Cup chopped green sweet pepper (1 medium)
1 tsp Dried Thyme
1/2 tsp Dried Rosemary
1/2 Cup chicken broth
1 Cup Balsamic Vinegar
3/4 Cup ketchup
1/3 Cup packed brown sugar
1/4 Cup honey or Honey Powder
1 Tbsp Worcestershire Powder
1 Tbsp Dijon-style mustard
1 clove garlic, minced
1/2 tsp Ground Black Pepper
1/4 tsp Salt
20 cocktail-size hamburger buns or small round dinner rolls, split and toasted
Sweet or dill pickles, coarsely chopped
Trim fat from meat. If necessary, cut meat to fit into a 3-1/2 or 4-quart slow cooker. In the cooking pot (or slow cooker), combine onion and sweet pepper. Add meat; sprinkle with thyme and rosemary. Pour broth over meat.
Cover and cook on low-heat setting for 9 to 10 hours, or on high-heat setting for 4-1/2 to 5 hours.
Meanwhile, for barbecue sauce, in a medium saucepan, combine vinegar, ketchup, brown sugar, honey powder, Worcestershire powder, mustard, garlic, black pepper, and salt. Bring to boiling; reduce heat. Simmer, uncovered, for 20 to 25 minutes or until slightly thickened, stirring occasionally.
Transfer meat to a cutting board. Using two forks, pull meat apart into shreds, discarding fat. Strain vegetable mixture, discarding liquid. Return shredded meat and strained vegetables to cooker. Stir in barbecue sauce. If using high-heat setting on a slow cooker, turn to low-heat setting. Cover and cook for 1 hour.
To serve, spoon meat mixture onto bun bottoms. Top with coleslaw and pickles. Add bun tops.