Prepare grill for indirect grilling; preheat to medium. Remove ribs from brine; discard brine. Pat ribs dry with paper towels. Place ribs (preferably in a rib rack) on the indirect heat side of grill. Cover grill and cook 1¼ to 1½ hours; brushing with ½ cup sauce during last 5 minutes of grilling. Remove rib rack from grill and allow ribs to stand 5-7 minutes before cutting into individual ribs. Serve with remaining sauce.