Pat chicken pieces completely dry with paper towels, then arrange on a large cutting board. Mix together smoked paprika, garlic powder, onion powder, brown sugar, black pepper, salt, and cayenne pepper in a small bowl. Rub olive oil evenly over all chicken pieces, then generously coat with the spice mixture on both sides, pressing gently so it adheres. This dry rub step takes just 5 minutes but creates the flavor foundation.
Preheat your grill to medium heat (around 375°F), and clean the grates thoroughly with a wire brush. While the grill heats, whisk together chicken broth, apple cider vinegar, Worcestershire sauce, and liquid smoke in a measuring cup—this becomes your basting liquid. Place a small disposable aluminum pan on the cooler side of your grill to catch drippings. Prepare everything before the chicken goes on the grates.
Once the grill reaches temperature, place chicken skin-side down on the hotter side of the grates. Sear for 4-5 minutes without moving it to develop those beautiful grill marks and lock in juices. Flip each piece and immediately brush with your basting liquid, then move all chicken to the cooler side of the grill. This juicy smoky tailgate grilled bbq chicken recipe relies on this medium-heat indirect cooking to stay moist.
Cover the grill and maintain medium temperature for 15 minutes, opening every 5 minutes to brush more basting liquid over the chicken. Check the thickest pieces with a meat thermometer—you're aiming for 165°F in the thickest part. The basting liquid creates a glossy coating while the lower heat prevents the outside from burning. Add butter and your half-cup of BBQ sauce to the basting liquid midway through this step.
During the final 3 minutes, brush the BBQ sauce generously over all pieces and let it caramelize slightly without charring. Transfer finished chicken to a clean platter, tent loosely with foil, and rest for 5 minutes before serving. This resting period allows juices to redistribute throughout the meat, ensuring maximum tenderness on each bite.