RA,
I am no expert and but the little bit I have hunted them I will share.
I've hunted them in the panhandle of Nebraska in combination with antelope. The area I hunt is unusual because it is a place that goes from steep ravines in a pine forest to one of the largest open prairies you will ever see.
In the trees and ravines, we hunted always - very careful of the wind, looking for bedded up bucks,usually mid-day. This was after locating them early morning and late evenings feeding.
In the prairie we basically hunted the same way with hopes we would run into a pronghorn along the way. We spent alot of time glassing and stalking as slow as we could go and then setting up sometimes for hours.
I've hunted elk in Colorado but not mulies so can't really go off on much experience there. We saw alot of nice bucks when we were in Crested Butte but most of them were low in prairie type conditions.
I know one thing, there bad habit of bouncing 2 or 3 times and looking back makes them a whole lot different than a whitetail. Although I have heard a very mature mulie is difficult to hunt especially in the mountains.
Just my 2 cents,
TLH
PS, hopefully this will get some more input from more experience mulie hunters.