For the chicken: Preheat the oven to 375 degrees F. Rinse and pat dry the drumsticks.
Mix the oil, chili powder, garlic powder, and some salt and pepper in a medium bowl or resealable plastic bag. Toss the drumsticks in the seasoned oil to coat well.
Bake the drumsticks on a wire rack placed on a baking sheet (so air circulates around chicken) until very tender and the skin is crisp, 50 minutes.
Mix together the butter, hot sauce and BBQ sauce in a large bowl.
Toss the drumsticks in the spicy sauce until well coated.
Place the drumsticks back on the rack and continue baking an additional 10 to 15 minutes.
Cook's Note: For an alternate milder sauce, whisk together 1 tablespoon maple syrup, 1 teaspoon hot sauce, juice and zest of 1 lime, 1 clove of garlic, minced and some salt and pepper.
