Preheat grill to medium-hot using both burners.
To prepare chicken, loosen skin from breasts by inserting fingers, gently pushing between skin and meat. Combine salt and next 4 ingredients (salt through chile powder); rub under loosened skin.
Turn left burner off (leave right burner on). Coat grill rack with cooking spray. Place chicken on grill rack over right burner; grill 5 minutes on each side or until browned. Move chicken to grill rack over left burner. Cover and cook 35 minutes or until done, turning once. Remove chicken from grill; discard skin.
To prepare sauce, combine mayonnaise and remaining ingredients, stirring with a whisk. Serve with chicken.
NUTRITION PER SERVING
CALORIES 252(25% from fat); FAT 6.9g (sat 1.3g,mono 1.4g,poly 3.4g); PROTEIN 34.4g; CHOLESTEROL 91mg; CALCIUM 26mg; SODIUM 536mg; FIBER 0.6g; IRON 1.5mg; CARBOHYDRATE 10.9g