1Dissolve the half cup of table salt into the two quarts of cold water.
2Submerge the chicken drumsticks in the brine and refrigerate.
3Mix the brown sugar, paprika, chili powder, garlic powder, salt, pepper, and cayenne in a bowl.
4Remove the chicken from the brine and pat dry.
5Dredge each drumstick in the spice rub, ensuring the skin is smoothed down properly.
6Prepare the grill for indirect cooking by heating all burners to high, then turning off the burners on one side.
7Clean the grill grates and lightly oil them.
8Place the drumsticks on the cool side of the grill and cover. Cook for 25 minutes.
9Flip the drumsticks and rotate their position to ensure even cooking, then cover and cook until the internal temperature reaches 185 to 190 degrees Fahrenheit.
10Transfer the chicken to the hot side of the grill for 5 minutes to crisp and char, rotating as needed.
11Remove the drumsticks from the grill, cover with foil, and let rest for a few minutes.