I replaced my thermostat with a Honeywell RTH7500.
I personally love a programmable thermostat in our 5er. I have it warm before I get out of bed, and cooler during the day when we are outside anyway, then warm back up before bed, then cool down to 60 when we are sleeping. In the morning, it is warm before I get up to make coffee.
This is also the same thermostat we have at home, so my DW doesn't have to learn a new one.
You have to use a battery powered thermostat. RVs use 12 VDC for the control power and all house thermostats use 24 volt.
There are a few thermostats on the market that can be used on an RV. Be sure and keep a set of batteries for the thermostat. Also, the connection is not a wire for wire change. House thermostats do not have a hi-lo fan switch as well, but a switch can be added.
Here is a link to use a Honeywell replacement. I would not use a programmable on in an RV. https://www.youtube.com/watch?v=6CPtV_iX9GQ
Ron, I have in effect the same thermostat as you would with the Honeywell but without a backlight and without modifying it. The NEWER models by Dometic are about $80 and are a direct replacement for the analog. I may get one just for the backlight.
This depends on exactly which analog model you have, I replaced my analog Duotherm last year with a Honeywell thermostat similar to this one https://smile.amazon.com/Honeywell-TH5110D1006-Non-Programmable-Thermostat-Heat/dp/B000GGPMO2 though since I had the duo-therm heat pump air conditioner plus propane furnace I had to buy the much more expensive version that support heat + emergency heat. I also modified it with a hi/low fan switch, there was just enough room in the case to mount a hi/low toggle switch on the left side, requiring only the removal of a couple of plastic ribs. There are various wiring instructions online for Hunter and some Honeywell thermostats, note the instructions that come with the thermostats are useless for wiring them up to RV air conditioners.