To prepare barbecue sauce, combine first 6 ingredients in a medium bowl. Place 3/4 cup sauce in a large bowl; cover and chill remaining barbecue sauce.
Add chicken to barbecue sauce in large bowl; toss to coat. Cover and marinate in refrigerator 8 hours or overnight.
Preheat oven to 375°.
Remove chicken from bowl; reserve marinade. Place chicken on a broiler pan coated with cooking spray. Bake at 375° for 30 minutes. Turn chicken; baste with reserved marinade. Bake an additional 20 minutes or until done. Discard marinade.
Bring remaining 3/4 cup barbecue sauce to a boil in a small saucepan; reduce heat, and cook until slightly thick and reduced to about 1/2 cup (about 5 minutes). Drizzle chicken with sauce.