In a large resealable plastic bag, combine the first 10 ingredients; add chicken. Seal bag and turn to coat; refrigerate for 8 hours or overnight.
Drain and discard marinade. Using long-handled tongs, moisten a paper towel with cooking oil and lightly coat the grill rack. Grill chicken, covered, over medium heat or broil 4 in. from the heat for 5-8 minutes on each side or until a meat thermometer reads 170°. Yield: 4 servings.