If you want a real refrigerator without electricity you can get an aqua-ammonia refrigerator. There is a company in Ohio that still makes them.
They run by heat, (Kerosene) they have a burner (wick) under them just like a kero heater.
This is how the refrigerator works in travel trailers and motor homes. They are aqua-ammonia refrigerators. They get the heat from an electric element or propane burner. I’m sure a creative person could improvise (part out a kero heater) a burner for one of these to make a usable small refrigerator for emergencies or a hunting camp or other remote place. All you need is a refrigerator out of an old trailer and a garage sale kero heater )I see these all the time for $5.00) and the ability to fabricate a few things to kit-bash these 2 things into a workable refrigerator.
I just did a search for one of these, a few sites come up. Here is the link to one of them. $1600.00 for it
For the most part they look like a normal refrigerator, other then some vents at the bottom.
http://www.thenaturalhome.com/servel400k.htmAt a cabin the big one would be nice. But for emergency or portable use building one from a trailer (because they are at least ½ the size) would be better.
I agree that the one mentioned above would not work in humid environments. It’s the same way for swamp coolers (desert air conditioners) while they are great for a place with 5 to 10% humidity, they are useless for 70% and up humidity.