I think you will be hard pressed to do it for a hundred bucks. I spent about that on a small bi fold setup with charge controller from Harzard Fraught ( ooops, I mean Harbor Freight ), and it can barely keep up with the normal losses from keeping the logic board for the fridge, the propane detector, occasional water pump use, etc. Needing to use the furnace fan ends up being too much for it.
If you are really trying go cheap, you might consider one of the little cheap two stroke gennies from HF. A buddy of mine has one, and it seems to be "ok" for very occasional use, and it was on sale for under $100 when he got it.
