Pat the chicken dry. Mix the brown sugar, smoked paprika, garlic powder, onion powder, salt, pepper, and chili powder in a small bowl. Rub over all sides of the chicken.
Spray a 6-quart slow cooker with cooking spray or use a liner. Scatter the onion slices on the bottom, if using. Place the chicken on top in a single layer.
Whisk ¾ cup BBQ sauce, chicken broth, apple cider vinegar, and Worcestershire sauce. Pour over the chicken and turn to coat.
Cover and cook on LOW for 3 to 4 hours or HIGH for 2 to 2½ hours, until the thickest part of the chicken reaches 165°F. Start checking at 3 hours on LOW.
Transfer the chicken to a plate, tent with foil, and rest 5 minutes.
Optional: whisk the cornstarch slurry into the sauce in the slow cooker and cook on HIGH, uncovered, 10 to 15 minutes until thickened. Or simmer the sauce in a saucepan for 5 minutes.
Brush the chicken with the remaining ¼ cup BBQ sauce. Air fry at 400°F for 3 to 4 minutes, or broil 2 to 3 minutes, until the glaze bubbles and caramelizes at the edges.
Slice against the grain, spoon the sauce and onions over the top, and serve with extra BBQ sauce.