01 - Combine smoked paprika, garlic powder, onion powder, kosher salt, black pepper, and chili powder in a small bowl. Mix thoroughly and rub the seasoning blend evenly over all surfaces of the chuck roast.
02 - Set the seasoned chuck roast in the bottom of the slow cooker, positioning it fat-side up so the rendering bastes the meat during cooking.
03 - Whisk together barbecue sauce, beef broth, apple cider vinegar, brown sugar, and Worcestershire sauce in a mixing bowl until the sugar dissolves and the mixture is smooth. Pour the sauce evenly over the seasoned roast.
04 - Cover the slow cooker and cook on the low setting for 8 hours. The beef is ready when it pulls apart effortlessly with a fork and reaches an internal temperature of at least 195°F for optimal shredding texture.
05 - Transfer the roast to a large cutting board. Using two forks, shred the beef along the grain, discarding any large pieces of connective tissue. Return the pulled beef to the slow cooker and stir gently to coat every strand in the accumulated sauce.
06 - Pile the saucy pulled beef generously onto burger buns and top with creamy coleslaw for a classic sandwich, or serve over steamed rice for a hearty plate.