Prepare grill for indirect medium heat (350°F to 375°F). Preheat grill by turning all burners to medium. Turn off burner(s) on one side of grill.
Mix Seasoning and red pepper in small bowl. Rub chicken with oil. Rub cavity with 1 tablespoon of the seasoning mixture. Sprinkle remaining seasoning mixture evenly over surface of chicken.
Remove about 1/4 cup beer and poke 2 holes in top of can. Hold chicken upright (legs pointing down) and insert opened beer can into cavity. Stand chicken in upright position on unlit side of grill. Position legs to best support chicken (similar to a tripod). Close lid.
Grill chicken 1 1/2 hours or until cooked through (internal temperature reaches 165°F in the thigh). Remove chicken from can before serving.