For my own off the grid setup, I went with a cheep high efficiency chest freezer ($200) and converted it to a fridge using a replacement thermostat. It's about 10x less expensive than the equivalent DC fridge, has much better insulation, and does the job. I then spent a tiny fraction of the savings on a couple of extra solar panels to cover any loss in conversion from DC to AC to DC.
With a fridge, moisture from foods and opening the door would collect on the bottom, unless you've got it tipped on its side? Even still, given how deep it is I would think that might be problematic.
FWIW I live in a very humid climate, so maybe it isn't so much an issue for you.