Preheat grill to medium hot heat.
Combine oil and all Ingredients mix in a small bowl. Rub mixture all over chicken, even inside the cavity.
Turn off one grill burner and place chicken there. Reduce heat to medium on remaining burner to maintain a constant heat of about 350-375 degrees
Grill for 75 minutes or until done, carefully remove from grill and allow to rest for 15 minutes before serving.