I know what I'd do...I'd stay put until mid day, after road crews have had the time to scrape and sand, and the sun has had the opportunity to melt what is left.
Than I'd travel, very slowly, anticipating a mile off into the distance. Exiting at truck stops to spend the night if I don't get far enough to find another RV park...which tend to be clustered every 200 miles along interstates.
Finally, I'd find a place to stop early. Between 2pm and 4pm. Then use the generator for power if I can't find a RV park and tether the phone to my computer so I could get online, checking all the local news for weather reports.
I've done snow travel in a RV before, and it's exhausting.