I've had a chance to discuss this idea at length with a friend. Basically my next goal is to get a Raspberry Pi running completely on solar. It's not very effective, but it proves the idea. And hopefully I will get an address up, verifiable and created completely from solar power.
I guess my real goal is to make an energy efficient system, that transforms solar straight to 12 volt DC, which is what a computer really runs on. So an inverter would clean up and transform the solar to 12 volts and charge the battery. And the battery or batteries would run the computer system directly.
I have a laptop Chromebook with a broken screen that could efficiently run on 12 volts, as is. A desktop would need some wiring to bypass the 'power supply'. Since I have about 400 Watts and three pretty good batteries, I could probably run the Chromebook instead of a Raspberry Pi, or both.
The end goal, I suppose is to run a full server with large computing power, completely on solar. Lots of mini-computers could run at various ip-addresses there to power multiple identities that need hosting or backing.
I already have access to a cool place, close to a fiber line but kind of in the middle of nowhere. Since this location runs off-grid and is protected, it is the perfect place to run a crypto-currency. There is a good chance nothing this complicated will ever be built by me unless I discover spare thousands of dollars somewhere.
In summary, I believe exploring solar and lightweight computing to be a worthwhile goal.