Well...
Farming on the side of a mountain/very steep hill is not something that makes any sense. Some cultures do it. You can see terraced gardens in lots and lots of ancient areas of the world. But most people nowadays, and in the US, don't want to work that hard. Building terraces is not easy.
So you're going to be looking at tree crops (walnuts, hickory nuts, mulberries, etc) or you're going to be looking at bramble crops (blackberries, raspberries, etc) which are going to be hell to harvest..
Or maybe grapes. Wine grapes produce the best juice when the vines are stressed in just the right way.
Harvest is not going to be easy no matter what, and it's going to need to be some kind of niche product.
HOWEVER.... (and this may sound harsh, but I don't mean it to. I'm interested in your way of thinking, and what you're after.)
I think it might be valuable to consider why you moved to this location, and why, if you wanted every square foot of property you own to be productive, you bought land so steep you can barely walk it. That land is why Appalachian people are stereotyped as poor. Because they couldn't grow any (formerly) valuable crops on it. Those hillsides are not designed to support humans with food, other than the tree nuts (which aren't gonna happen in the next 20 years cuz those trees have now been cut down) and the hillsides generally don't support humans very well.
With that in mind...
Maybe you just want to plant trees (deciduous, like the ones that got cut there) and enjoy the beauty of the foothills. Not every bit of land has to produce something, for it to be of value. Peace and tranquility is not cheap, and you have the makings of it right there, if that's what you like.
All that said...I think you might want to look into wine grapes. The wine industry in the eastern US is exploding. You would have a lot to learn, probably, but your terroir is like nobody else's, which means if you are interested, you have something nobody else has, and there might be a local winery that would be interested. You just have to figure out how to make use of that.