I've been caught by snow going through West Virginia (Michigan to North Carolina) and by ice storms and snow in Ohio on I-75, December and January. Been stuck in snow all the way across Tennessee on I-40 in January. Also have gone through Ohio and W Virginia to Virginia, then down coast to Florida between Christmas and New Year's day without a drop or flake of anything on the road.
I think there is no best route or worst route for weather, it is luck of timing. Going between family in Oklahoma, Texas, Michigan, Carolinas, Florida during winter, I've just gotten used to the idea of watching weather forecasts, picking the route (of several always available) least impacted by weather when I want to travel, or stopping to wait out the problems. Interstate highways get cleared pretty quickly in the eastern half of the U.S., at least in the North and the mountains. Southern states may wait for the rare winter ice or snow to melt, since it does not work well to buy a lot of expensive snow clearing equipment for once in five or ten year events.
