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At high altitude we cook with pressure cooker to address the problems. Heating the pressure cooker on a stove or open flame until pressure is reached, than using the box to maintain the temperature would work perfectly. We have to lower the temperature anyway, even if the cooker is on stove top or other heat source.
Off Grid Sous Vide. I have been looking for an option that would allow heating a large pot of water on the gas range or open fire, then keeping it at a somewhat constant temperature for several hours. This will work, even better than using a beer cooler. Way to go, good instuctable.
But you can use low heat and long cooking times. See sous vide cooking.