Preheat the grill, heating it to around 400 - 475 degrees
Mix all of the rub ingredients together in a small bowl
Place the chicken in a roasting pan, and spread the rub all over
Sprinkle some on the inside, as well
Open the Ginger Ale, and pour 1 cup of ginger ale into a sauce pan
Add brown sugar, ginger, and pepper
Place the chicken over an open can of ginger ale that is at least half way full of soda
Use the legs of the chicken, and the can as a tripod
Pour enough water to cover the bottom of the pan, and measuring about 1 inch high
Place the pan on the grill, and close the lid
Grill for about 1&1/2 hours, turning the pan occasionally, and basting chicken with juices in the pan each time your turn it
While that is grilling, make your sauce - turn the heat on the stove to med/high, and bring sauce to a boil
Reduce heat, and simmer for about 15 minutes, or until the sauce has thickened a little, and has reduces by half
When the chicken is ready, remove it from the can, slice, and serve with the glaze