I too have hunted Deer and Elk out of the same camp. There were some draws and drainages that we knew were deer country, and others were elk country. Wasn't elevation in Wyoming. You could find the deer in the burns after first light. The elk would be within view of a green treeline. Until we started getting weather. Then the elk would come out more in the open.
A deer or 2 can hide in a lot smaller cover. A herd of elk, not so much. If they are in the open they are pretty relaxed. Once they spook and head for the timber though they are on guard.
I've seen a alert but not spooked deer sneak to a small patch of brush, or arroyo to hide and often will freeze to see if you go by. Elk will tear up the country getting out of view.
I've got one mountain range I've seen very few deer in despite big rocky above timberline areas. They are probably there but in the dense tree cover. Sometimes Deer country just means you can SEE them in it. I've SEEN more deer than elk in Aspens.
When I see cliff bands, I look for deer beds at the base of them. Especially when they are in the upper 2/3rd of a ridge. That country just LOOKS "bucky" to me.