DrewE wrote:
If it's just the furnace, any normal (residential) digital thermostat that has its own battery for power will work just fine. Select one with the features you want. Relocating the thermostat itself means rerouting the control wires, or running new ones, or extensions, or something along those lines.
If the same thermostat also controls an air conditioner, it may or may not be compatible with standard thermostats; that depends on the model of air conditioner and whether it has some proprietary (usually digital) thermostat interface.
most residential thermostats rely on 24VAC for operation and just use batteries as a backup. While many will work w/o 24VAC you may find things like LCD display is dim or hard to read with only batteries and/or the battery life is pretty short.
residential thermostats for milivolt systems will work just fine, they are basic and do well but don't have any programming capability
We had a programmable hunter thermostat in the trailer, worked ok on batteries only except for short battery life and very dim display. Had to reprogram it quite often.
We now have an RV thermostat from micro air.
https://www.microair.net/products/easytouch-rv-thermostat?variant=32199143555156
not inexpensive, but so far we love it. very programmable, big display, easy to see, easy to program , will let us set the AC to high or low fan, switch between the gas furnace or AC heat strip , when the AC gets within a few degrees of set temp it can be set to go to low fan speed.