Heat the grill to medium-high heat (between 400-450°F). Place the chicken, skin side down on the grill for about 8 to 10 minutes until the skin is well-marked and crispy. Lower the grill heat to medium, baste the chicken with the basting sauce and flip the chicken over. Close the lid and grill for 15 to 20 minutes, turning and basting every 5 minutes, until the chicken is almost cooked through. Baste and flip the chicken over again and grill for 5 more minutes, or until chicken reaches 165°F on an instant read thermometer inserted into the thickest part of the meat.