Set up your Weber Kettle for indirect smoking – Fill your charcoal chimney fire starter with charcoal briquettes, and when ready, empty the chimney in the center of the charcoal grate. With tongs, move the charcoal to both sides of the Weber Kettle, creating two equal piles. Add three more charcoal briquets and two soaked wood chunks or wood chips to each pile.

Bring the chicken drumsticks to room temperature – Pat the chicken drumsticks dry with a paper towel. Sprinkle each chicken drumstick with the chicken rub, ensuring the entire chicken drumstick is completely covered with the rub.

Place the chicken drumsticks on the Weber Kettle grill grate – Place the chicken drumsticks in the center of the Weber Kettle grill grate and smoke indirectly for minutes 30 minutes, or until a meat thermometer inserted in the thickest part of the drumstick reads 165 degrees.

Add the BBQ sauce – Just before pulling the chicken drumsticks off the Weber Kettle, slather on the BBQ sauce with a kitchen brush. Remove the chicken drumsticks from the Weber Kettle and devour.