Heat grill for indirect grilling: Light one side of grill, leaving other side unlit. Close lid; heat grill to 375F.
Mix first 5 ingredients; rub onto chicken.
Open beer can; discard half the beer.
Place can on work surface; lower chicken over can, inserting can into tail end of chicken. Stand chicken on grate over unlit area, using the legs to help the chicken stand upright; cover. (Can should remain in chicken on grill.)
Grill chicken 1 hour; brush with 1/4 cup sauce. Grill, uncovered, 15 min. or until chicken is done (165F), monitoring for consistent grill temperature and brushing chicken frequently with remaining sauce.
Remove from grill; cover loosely with foil.
Let stand 10 min. before removing chicken from can and carving chicken. Discard any beer remaining in can.