I have not hunted 22, but am generally familiar with the area. You can try around the Cathedral Bluffs in 22. There is a considerable amount of public land, but you need to work out the access to it since some portions may require crossing private property which is gated.
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.