^, yeah now that I think about it, I knew that cooling dried the air, so the cooler you go the more dry the air is (just wasn't thinking).
To really make it effective, your case or a container that your computer is in, would have to be completely sealed. But since you are just cooling (granted super cooling) a small area, your unit shouldn't use that much.
You could even forgo the solar panels drill a big hole in the ground and go geothermal.