Preheat a grill to medium. Combine the brown sugar, paprika, cumin and garlic powder in a small bowl. Season the wings with salt and pepper and toss with the vegetable oil in a large bowl. Add the spice mixture and toss until evenly coated.
Oil the grill grates; arrange the wings on the grill and cover. Cook, turning the wings occasionally, until well browned and cooked through, 20 to 25 minutes. Remove to a large bowl and toss with the barbecue sauce. Serve with coleslaw, cornbread and/or watermelon.