Or, you could build a snow shed over the problematic areas. It works for railroads, so why can’t it work for regular roads?
Railroads are about 20 feet wide for single track, 40 feet for double track. Probably no more than 20 feet high. Usually used for spot situations where the snow shed is perhaps 1,000 feet long.
I-80 is probably 150 feet wide in that area. 75 feet wide if you "shed" the travel lanes individually. In many areas, the travel lanes are separated by hundreds of feet, so you'd definitely have to build two sheds.
All this, not for a few 1,000 foot chunks, but perhaps 100 miles continuous. The ENTIRE LENGTH is a "problematic area." It might be cheaper to actually just dig down 25 feet and roof the result. So, $20B instead of $50B.
Short answer: Not practical.