1. Soak wood chips in water for 30 minutes; drain well.
2. Preheat grill to medium-high heat using both burners. After preheating, turn the left burner off (leave the right burner on). Pierce the bottom of an aluminum foil pan liberally with the tip of a knife. Place pan on heat element on heated side of grill; add wood chips to pan.
3. Remove giblets and neck from chicken, and discard. Starting at the neck cavity, loosen skin from breasts and drumsticks by inserting fingers, gently pushing between skin and meat.
4. Combine oil and next 5 ingredients (through black pepper) in a bowl. Rub spice mixture under loosened skin and over drumsticks and breasts; let stand 20 minutes.
5. Discard 6 ounces beer from can. Holding chicken upright with the body cavity facing down, insert beer can into cavity. Place chicken, upright, on grill rack covering left burner, spreading legs out to form a tripod. Cover and grill 1 1/2 hours or until a thermometer inserted in thigh registers 165°. Place chicken and can on cutting board; let stand 10 minutes. Discard can and skin.