How to Make It
Place the turkey drumsticks, Dr Pepper and chiles in a large pot. Cover and brine in the refrigerator for 8 hours. Remove the turkey drumsticks from the brine and pat dry. Let the drumsticks stand at room temperature for 30 minutes. Put the apple cider in a spray bottle for basting.
Light a hardwood charcoal or wood fire in the firebox of a smoker. Heat the smoker to 250°. Scatter some of the soaked wood chips around the coals; the chips should smolder but not flare. Set a drip pan filled with water on the bottom of the smoke box. Set the drumsticks over the drip pan. Smoke the drumsticks, spraying and basting every 30 minutes with the apple cider, for 5 to 6 hours, or until the juices run clear and an instant-read thermometer inserted in the thickest part of the drumstick registers 165°. Let the drumsticks rest for 20 minutes before serving.