Remove giblets and the neck from the chicken.
Apply Memphis rub all over the chicken, including inside the cavity, and under the breast skin. Place chicken onto a large pan and set into the refrigerator uncovered, for 1 hour.
Time to preheat your grill. Prepare a two-zone fire for indirect cooking.
Remove pan with chicken from the refrigerator.Open a can of beer and pour out half of it (preferably into a chilled glass for you to enjoy later). Pierce two more holes on the top of the beer can. Adjust chicken on top of the can. Place the bird on the grill balanced by the beer can. Grill over indirect medium heat for 1 1/2-2 hours or until the internal temperature of the thigh reaches 175 degrees. Once cooked, remove chicken from the grill, with beer can still intact, and let stand for an additional 10 minutes before carving.
To carve, carefully remove the beer can and discard. Place chicken onto a clean cutting board, and carve as usual. Serve with your favorite side dishes.
Store leftover chicken in an airtight container in the refrigerator for 3 days.