Yes, snow tires help alot but rental agencies in Alaska don’t even install them since late-90’s.

Best bet is to rent a Subaru AWD or similar.

Casper region will have what is called “black ice”. The pavement will appear clear of snow but in areas of wind or shade from the direct sun, there is often found a thin layer of clear ice.

In town, this should not be a problem, its primarily found on the two-lane highways.