Combine first 10 ingredients in an extra-large (2-gallon) heavy-duty zip-top plastic bag; add chicken and seal bag. Turn to mix well, then chill 8 to 12 hours.
Remove chicken from the bag; discard the marinade. Place chicken halves, cut-sides down, on greased grill rack. Cover and grill over medium heat (325° to 350°) for 1 hour and 30 minutes or until done, turning chicken every 15 minutes. (Watch carefully to prevent flare-ups.)