To make marinade: In a medium bowl, whisk the marinade ingredients.
Place the chicken in a large, plastic resealable bag and pour in the marinade, place in a bowl, and refrigerate for 6-8 hours, turning occasionally.
Remove the chicken from the bag and reserve the marinade. Pour the marinade into a small saucepan, brign to a boil over high heat, and boil for a minute.
Grill, bone side down, over Indirect Medium heat until the juices run clear and the meat is no longer pink at the bone, 30-40 minutes. Baste once or twice with the boiled marinade. For crispier skin, grill the chicken, skin side down, over Direct Medium heat during the last 5 minutes of grilling time. Brush with a little of the marinade just before serving.