Combine all ingredients for the rub in a container with a lid until needed.
Preheat oven or grill to 325 degrees.
Season chicken all over with the rub.
Place as many garlic cloves as will fit inside the the chicken, letting any excess spill out.
Place the chicken breast side up in a rack in a roasting pan.
Cook until a thermometer inserted into the breast reads 160 degrees.
Remove the chicken to a platter and let rest for 15 minutes.
Squeeze the pulp from the garlic cloves into a small dish to serve with chicken.
Recipe adapted from Dr. BBQ's Big-Time Barbecue Cookbook