In a bowl or shallow dish, combine the first 5 ingredients. Pour 1 cup marinade into a separate bowl; add chicken and turn to coat. Cover and refrigerate for at least 4 hours. Cover and refrigerate the remaining marinade for basting., Drain and discard marinade from chicken. Prepare grill for indirect heat, using a drip pan. , Place chicken breasts, bone side down, on oiled rack. Grill, covered, over indirect medium heat until a thermometer reads 170°, about 20 minutes on each side, basting occasionally with reserved marinade.