One more thought on the subject. Understand that western snow is dry… normally. By that I mean it isn't usually the wet heavy icy stuff so prevalent back east or down south when they rarely get it. What this means is the driving conditions even with snow packed roads are a much different critter than wet ice packed roads. Not saying anyone shouldn't be cautious under these conditions but the differences in driving on dry snow roads is night and day different than back east… the vast majority of the time.
It's not uncommon to be on the interstates with snow packed roads and people are still going 70+ MPH out here on the Montanabon. Wyoming is no different. All of the western states are very diligent about plowing too and what doesn't get scraped off either evaporates or melts in fairly short order. There will always be icy spots especially in the shade of cliffs, trees etc but it's truly amazing how fast the remnants after plowing evaporate even in cold temps.
Just be cautious and take your time or grab a motel room for the night, or two