If this is anywhere but Antarctica, it's going to be too warm. At least, anything that's worth running for daily profit. These usually require big units, which produce a lot of heat and noise. I personally don't think it's wise, especially since he would be relying on solar. So, the assumption is this is somewhere that's got some decent rays coming down, which would be a major problem for the logistics when it comes to the heat. You could pump that out, but again I don't think its very practicable.
As mentioned, vibrations would be a major thing to consider. I've had to thread lock things when they're permanently travelling in vans due to the vibrations just spinning the fittings off.
Also, the amount of solar needed to even run the small lottery miners would probably be a stumbling block. You can definitely do it, but there's almost certainly better ways to go about this. I'd say it would probably be better to just have a small Bitaxe gamma or something running while he travels. Odds are stupidly low, but the cost of setting it up and running it would be negligible. When, you want daily profit most people don't have the space or the logistics to do it at home let alone in a van.
Nerdqaxe's can run north of 100W overclocked at the wall. Many of the bigger miners are at least 1000kw and can get as hungry as you'd like which simply isn't going to work on a leisure battery. You'd have to setup a pretty advanced battery system, which would likely be one of those portable power stations, then you're adding extra weight to the van, which could potentially exceed payload restrictions or just making the van heavy which results in excessive fuel consumption.
I don't know, seems like a really fun project but probably nothing more than an experiment.