Hi Matt,
"when we are at the cabin" puts a kink in it.
If you Google your butt off, you should find a factory-made propane-powered Peltier-based generator. The reviews of that unit were good, if I recall correctly.
I can tell you it is not a good idea to get the modules too hot.
"Google Search the board" (top right) for Peltier, Alaska, and India.
It will not be easy to find, but a lot of related info is here.
Might consider a small windmill...
If you googled back far enough, I think you will have found Peltiers are expensive, low output, and not exactly long lasting.
I don't have much of a decent or windy place for a windmill, but it was a better option for a battery bank being watched daily.
G-