Hunting elk in snow depends on a few factors:
Depth - if snow isn't too deep (or even sometimes when it is) elk will still be in their late fall areas. They love to chill. Even on heavy snow years we've seen elk chillin' on ridge tops with apparently no grazing in site.
If snow is deep, mid-shin or higher, elk may be coming down to lower grazing areas. Look for bluffs where wind has blown to expose edible bunch grasses. Within treed areas there's usually less snow, so elk can hide, eat, bed down...
Weather - I've rarely seen elk on south facing slopes (except for the bull I shot in this pic, but he was headed to a north slope to bed down in shelter and shade). Find the pockets of Aspens or other cover on north and east slopes.
Gear - Bring snowshoes, and depending upon terrain, a cheap kids plastic sled from Walmart to slide your elk out. I've nver used the sled, but here it works pretty well.
Water is key. We lose a lot hydration in winter so carry plenty to drink if you're hiking for hours. Assuming you have good boots, clothing...
With elk, as you know, no matter what high and deep is the general terrain rule.