The deep snow is actually a blessing for the cows. They just lay down & snuggle up. The snow insulates them and helps keep them warm. Not sure how much distance between your place & mine, but I only have an inch or two. Would love to have a foot of snow. Much better for their feet & warmth.
The heavy snow is harder on US then it is for them - except for moving around from place to place. You need to drive around & make "trails" for them. But, with heavy winds, they fill in almost immediately. No relief in site this whole week as far as temperatures.
We only feed hay - all 1st cut, which is normally really, really good baleage, but with all our rains, my fist cutting was made end of July. Not tested, but I "know" the food value isn't what it needs to be - especially when they start milking. All due 1-1 to 3-6. Oh well, might not be in top condition, but should do OK. Hopefully, does not hurt AI program.