Coat food grate with cooking spray; place on grill over medium-high heat (350° to 400°). Place chicken on grate, and grill, covered, 5 to 10 minutes on each side. Reduce heat to low (under 300°); grill, covered, 40 to 50 minutes for breasts and 30 to 40 minutes for drumsticks or until done. Brush with 1 cup Honey Barbecue Sauce during last 10 minutes of grilling. Serve with remaining 1 cup sauce.