For you thermostat wiring gurus I have a question. Is there a way to wire a new digital thermostat in series with the Dometic thermostat. The new thermostat would control the on and off temperature, because the Dometic does a very poor job of that with large temperature swings. I would also locate the new thermostat not on the outer wall to prevent solar wall heating from affecting the thermostat. I ask this because my understanding is the Dometic CoolCat thermostat wiring sounds a bit tricky, so using the new thermostat to provide power to the Dometic thermostat would be work-around. Does this concept make sense, or is there a better way to get around the Dometic thermostat issues?