After producing a pretty good snow year in the Southeast last year, La Nina might be finished with this region.
While western Virginia and northwest North Carolina could get more precipitation than usual, the rest of the region should be close to normal. However, warmer than normal temperatures could destroy any hopes of turning increased precipitation into snow and lead to many mixed storms. Some Arctic air from Canada could dip down as far south as western Virginia creating good snowmaking conditions, but that shouldn't happen very often.
Once again, snowfall in the Southeast will be dependant on the NAO. A positive NAO, like last year, will result in fewer storms and an increase in warm temperatures. Conversely, a negative NAO will have the opposite effect and increase snowfall in parts of Virginia.
Basically, the farther northwest you go towards West Virginia, the better off your ski season will be.