Preheat the smoker to 250°F and prepare the wood chips for smoking.
In a small bowl, mix together 2 tablespoons brown sugar, 1 tablespoon paprika, 1 tablespoon salt, 1 teaspoon black pepper, 1 teaspoon garlic powder, 1 teaspoon onion powder, and ½ teaspoon cayenne pepper to create the seasoning mix.
Rub 2 tablespoons avocado oil all over the 3–4 lb chuck roast, then generously apply the seasoning mix to all sides of the roast, pressing it into the meat.
Place the seasoned chuck roast on the smoker grates, fat-side up, and close the smoker lid.
Smoke the chuck roast for approximately 1 hour per pound, maintaining a consistent temperature of 250°F. For a 3–4 pound roast, this will take about 3–4 hours.
In a small saucepan, combine 1 cup BBQ sauce, ¼ cup apple cider vinegar, ¼ cup honey, and 1 tablespoon Worcestershire sauce. Heat over low heat, stirring occasionally, until well combined and warmed through.
When the internal temperature of the chuck roast reaches 165°F, remove the roast and cube it into bite-size pieces.
Return the beef to a foil pan and pour the sauce mixture over the meat. Toss to coat evenly.
Place the pan back into the smoker and continue smoking until the beef reaches an internal temperature of 200–205°F and the sauce has caramelized, about 1–2 more hours.
Remove the smoked chuck roast from the smoker and let it rest for 15–20 minutes.
Serve hot and enjoy!
Notes
Towards the end of cooking, keep an eye on the caramelization to get a crispy exterior withoutburning the beef.