Carry of any sort is off limits in National Parks nationwide. Firearms must be unloaded and locked out of reach.
National Forests have a much more reasonable policy. They follow the laws of the state in which they are located. So if you can carry concealed in that state you can do so in the National Forest; same with OC. A few states have laws prohibiting carry in National Forests (TN is the first one to come to mind), but the Forest Service has no problems with it on a federal level. Apparently there are far fewer liberals in the Forest Service than in the Park Service.
, I agree with you on hoping WV decides to honor VA non-res permits. I'll apply for a Virginia non-res immediately if that happens--most of my family is in VA anyhow. Of course, I'd much prefer that WV started to honor permits from more states, but sadly coming from MD that wouldn't help you much.