HEAT barbecue to high heat. Place chicken in resealable plastic bag. Add 3/4 cup barbecue sauce; close bag. Shake gently to evenly coat chicken with sauce. Remove chicken from bag; discard bag and sauce.
PLACE chicken on one side of barbecue; grill 2 min. Meanwhile, use fork to poke a few holes in large sheet of foil. Place foil on other side of barbecue grate. Turn chicken over; place on foil. Close lid; turn burner off under chicken.
GRILL chicken 35 min. or until done (170ºF), turning and brushing with remaining sauce after 30 min.