Pat the drumsticks real dry, place them side-by-side in a non-reactive container and sprinkle them generously with salt and pepper.
Put the rest of the ingredients in a bowl and mix them with a whisk until evenly combined. Pour that marinade over the drumsticks and move things around until the chicken gets completely and evenly coated. Cover and place in the refrigerator to marinate for about 6 hours or until the next day.