The OP probably already went on his trip, but for future reference, there is usually no need for 4WD (high or low) when on highways in any state below Ohio, even if it's snowing. The snow in NC and VA is usually mild enough that it won't cause driving conditions treacherous enough to warrant the use of 4WD.
The northern states and in Canada, however, that's a different story. Even the best highways in Canada, when driving through a white-out storm, can be treacherous and will warrant 4WD hi. I did that for two years and never got used to it. White-knuckle driving conditions from December to March in Northern Ontario. I always kept some toilet paper and an extra pair of underwear with me when driving during the winter.
I'm glad to be back in NC, where the snow is fairly mild and there's usually no need for 4WD unless on unpaved roads in the mountains, or during [really] heavy snowfall.