It is a good idea.
But AROTC is probably right about humid climates. Perhaps the addition of a solar-powered fan would help with evaporation?
I also think this would be in the "vegetable crisper" temperature range. Great for produce, fair for milk and cheese, but not cold enough for meat.
Pioneer methods for natural refrigeration in this part of the world (Western Canada)included hanging meat/dairy down in a cribbed well, and the creation of well-insulated icehouses that were filled in winter months.