Doug,
I also have the Norcold 1200 LRIM and was experiencing the same issue.
Are you experiencing this problem on both LP and Electric ?
LP worked fine on mine unit, my issue was with Electric only.
1) I replaced the Thermistor which is simple fix and a good first place to start. It is attached to the cooling cools and plug into light fixture.
This did not correct my issue but the Thermistor does control temp within Norcold and could be your problem.
2) I used an amp/ohm meter to check both heating elements. This is not difficult and will confirm whether they are within tolerance.
You can find spec's on amps and ohms on web. Both of my elements were within tolerance.
3) At this point I was stuck. Searched the web and found
www.Norcoldparts.com For $40 you can communicate with a retired Norcold Tech.
After several emails the Tech had me check for AC voltage on the 12 Volt input. It turned out that I had a bad diode on my inverter that was passing AC voltage
through the 12 volt line which causes the Norcold to go crazy. I have yet to repair my Inverter but as long as the Inverter is shut off my Norcold works fine.
Best $40 I have spent, my Norcold is working fine now as long as Inverter is off. I will get Inverter fixed one day but at least I can keep food cold until I do.
Darrell Terry
2004 Monterey