Sorry guys, poorly worded on my part. I only meant the Prairie guys who get no dew. I had thought the no dew qualifier would disqualify the Pacific folks. My apologies.
This might help. At a minimum, it might stop moisture from condensing in volume on the box walls. But it won't stop it from condensing on the contents.
@Chicken lights - do you have enough spare battery power to heat the inside of the box a bit during the night? Think golden rods in a gun safe. All it takes is a few degrees to keep the air in the box warmer than the air outside which lowers its relative humidity. The warmth will accelerate corrosion, but it's better than maintaining a wet environment in there. It would only take a few watts.
Or maybe a heater at night running on 115, and a separate heater on 12 (or 24) while on the road.
The styrofoam idea would be beneficial to a heater based humidity reduction system.
I'll keep thinking about it.