Check out some auctions, estate sales and such for some deep cycle batteries, solar charge controllers and panels. I have fixed my set up a few times over the years on the super cheap that way. The whole system is not bad other then the batteries for cost.

Burning wood comes with its own extra work and costs. Plus the danger of burning your house down. I live in a forest, and wood heat is not uncommon here. There were 4 wood heat fires that destroyed homes this past winter, it was a cold and long winter this year. And I did grow up with wood heat as a kid, so I'm very familiar with it. I do remember a couple of chimney fires quite well.

It will keep you warm for a little while, but not for long.

If things hit the fan, lights can be a cheerful thing to have. But if it's a widespread power outage that lasts, the internet goes down, and cell service follows pretty quickly. Maybe a Game Boy is usable, but your tablet will be a paperweight, and forget the NAS. On the upside, there just won't be much you are going to need electricity to run at that point.