Looking at a map I think I'd just take my chances and take I-80 east. Your only alternative is to swing way out of your way to the south and take I-40 or I-10.
Avoid the passes early in the morning or late at night, if you must. The good thing about snow this time of year is that it usually won't survive much past 9 or 10 AM and the freeway being well and constantly traveled helps too.
I assume you're headed to "our" dealer, Midway? Whacha gettin'?
Jay & Peggy Monroe with Dolly
Can't take it with you - don't plan on leaving any behind
2016 Newmar London Aire 4553, Spartan chassis
Wrangler Unlimited toad