The Honeywell thermostat mentioned above is indeed a popular choice. I elected to go with an alternative popular choice (purchased, not yet received).
Honeywell TH1100DV1000 Nonprogrammable Heat Only Thermostat, White
https://www.amazon.com/dp/B00H6ARNXO...EB46VDZRBG9RT4
This one is heat only, so no extra switches or buttons that will go unused. I liked the “cleanliness” of that.
But my understanding is that either one will work, as they can both be hooked up to the two wire system of the Basecamp.
In fact, if you look at the images of the one I bought, someone shows using it to replace our exact Suburban thermostat. So that’s a real confidence boost.
They are both battery powered. They do not power themselves off the trailer’s electrical system. Pros and cons to that. I think swapping out some AA or AAA batteries once or twice a year is no big deal.
What I really wanted was a Bluetooth version of a thermostat like these. This would allow me to see the temp it was reading and control it from my phone from short distances away. I have electrical and propane information going to my phone now, so I was jazzed by the idea of continuing that trend. Sadly, Bluetooth enabled thermostats are rare. You can find them, especially if you search RV thermostats specifically, but they are very expensive and backordered.
I also looked at the much more common WiFi enabled thermostats, but I plan to boondock and having to attach the thermostats to a WiFi network just to interface with it seemed burdensome. Plus they are expensive and I wasn’t confident they would install to the 2 wire trailer system.