For the bourbon BBQ sauce, in a small saucepan combine the first six ingredients (through red pepper flakes). Bring to boiling; reduce heat. Simmer 5 minutes. Reserve about half the sauce for serving.
For the chicken drumsticks, in a small bowl combine the next six ingredients (through black pepper). Rub seasoning over drumsticks.
Place drumsticks in a 3 1/2- or 4-quart slow cooker. Drizzle remaining sauce over chicken, gently stirring to coat. Cover; cook on low 5 to 6 hours or high 2 1/2 to 3 hours or until chicken is tender. Serve drumsticks with reserved bourbon BBQ sauce.