35 can be a tough area to hunt. The last 5 years the first sign of pressure the Elk come off the mountain onto private and stay all winter. I hunt antelope and whitetails on private in that area and seen more Elk than deer.
In my experience an Elks home range is very large, they will have several spots like you described. They will travel between those spots at random, but will return, it might take them up to a week or more. If you have the time they will return, even from year to year.
I am a 58 year old Wyoming native it is all I know. I love it here and wouldn’t live anyplace else. I can’t count how many people I have met that came from other places who after a year can not get out of here fast enough. Yes the winters are long (hell we had snow today) and the summers are hot...
I have had success letting a heard bull and his cows bed for a couple of hours.Then getting the wind right, getting in close, Bugle. Getting into their bedroom can really piss them off. But you have to have a pretty good idea where they are bedded.
You might be able to find someone who has a tag that might allow you to tag along. You can offer to help packing in and out, expenses, camp chores or some other way to lend a hand in exchange for the learning experience.
I am a Wyoming native who has been hunting my home state for decades. About six years ago picked up a bow and it has become an obsession refueling my hunting desire