As others have said, it is just a toss-up what the weather will be like in February. If it is snowing, I would suggest you pull over somewhere, hang out for a few hours and let the snow stop, then give TDOT a chance to clear the roads and then go for it. Once the snow has stopped, they will work it until it is clear. If you get there DURING a snow storm, I would suggest an overnight stop. If you have never towed a vehicle in the snow, this is not the place to be trying it out to see if you CAN do it.
2017 Ford F350 Crew Cab 6.7L 4x4 DRW