I've never been there, so I don't know how popular that particular spot is, and whether there are outfitters working that area. But my general rule of thumb is to get at least 1 mile from the road. Horse Thief Peak is 2 miles from the Wilderness boundary, but 5 or 6 miles from any road. That should be plenty far. One other thing, if you're camping, do not camp in the middle of a meadow or on a trail. You don't want the elk to know you are there.
When calling coyotes, more often than not they will circle on a target they are
coming into and approach from the downwind side. Presumably they do this in
order to align what they smell, with what they are hearing.
This means that you should always have your downwind side camouflaged and have
an open shooting lane. If the area is heavily covered the coyote could come in
take a look and be gone, with you none the wiser.