Heat gas or charcoal grill for indirect cooking as directed by manufacturer (see Cook's Note). Remove and discard neck and giblets from chicken cavity. Rinse chicken with cold water; pat dry with paper towels.
In small bowl, combine all remaining ingredients except beer; mix well. Rub mixture on inside and over outside of chicken, using all of mixture.
Open beer can; with can opener, make several other openings in top. Measure out 2/3 cup beer; discard or reserve for another use. Spray outside of half-full can of beer with nonstick cooking spray; place in ungreased shallow roasting pan. Carefully place chicken cavity over can, pushing until chicken balances in pan.
When grill is heated, using tongs and pancake turner, remove chicken and can from pan; place on grill directly over drip pan, making sure chicken is balanced. Cover grill; cook 1 1/4 to 1 1/2 hours or until chicken juices run clear and thermometer inserted in thickest part of thigh registers 180°F.
With thick hot pads and tongs, carefully remove chicken and can from grill; place in clean baking pan or on serving platter. Twist can to remove from chicken; discard can. Let chicken stand 5 minutes before carving.