01 -
Preheat the grill to 275°F (135°C), setting up for indirect cooking.
02 -
Chop carrots and celery into even pieces; slice the onion. Leave garlic cloves whole.
03 -
Season both sides of the chuck roast generously with Heath Riles BBQ Beef Rub.
04 -
Place the seasoned chuck roast directly onto the grill grates over indirect heat.
05 -
Combine chopped carrots, celery, sliced onion, whole garlic cloves, butter, beef broth, red cooking wine, The W Sauce and an additional layer of beef rub in a large Dutch oven.
06 -
Place the Dutch oven with the liquid mixture onto the grill alongside the chuck roast.
07 -
Smoke the chuck roast until internal temperature reaches 150–160°F (66–71°C), about 2 hours.
08 -
Transfer the roasted beef into the Dutch oven with the broth and vegetables. Cover and simmer on the grill for an additional 2 hours until beef is fork-tender.
09 -
Spread butter on sliced bread. In the final 15 minutes of beef cooking time, toast bread slices on the grill until golden.
10 -
Remove beef from the Dutch oven and shred using two forks in a large pan.
11 -
Stir 2–3 tablespoons of the broth and 1–2 tablespoons of Sweet BBQ Sauce into the pulled beef. Mix well for even coating.
12 -
Layer toasted bread with Blue Plate mayonnaise, pulled beef, provolone cheese slices, and onions from the broth.
13 -
Return assembled sandwiches to the grill. Heat until provolone is thoroughly melted.
14 -
Remove sandwiches from grill and serve immediately.