I changed out the analog type thermostat to a Honeywell TH4110D1007 Programmable Thermostat and it works real well. A lot more responsive to temp settings instead of the lag from the Coleman Tstat.
Ordered it from Amazon for a cost of $31.86. I changed the location from where it was to the panel to the left of the fridge by adding a new length of wire. Hooking it all in was pretty straightforward but the I have done this type of work for a living. Could be a little tricky for a novice.
Got the idea from RV Mods, RV Modifications, RV Upgrades, RV Tips, RV eBooks | ModMyRV.com
and there is a lot of useful info there.