In a charcoal grill, create a smoldering fire on only one side of the grill pan, using the 3 cups of dry wood briquettes. Once the embers are glowing, place the chicken on the grill and cook for 2 to 3 minutes per side, or until grill marks form. Move the chicken to the opposite side of the grill, away from the fire. Add the 3 cups of damp briquettes to the fire and let smolder. Close the grill lid and allow to smoke for about 1 hour.