I would not change if it works well for you. I have flinter in .50 cal and a percussion in .54 cal. Now mind you I hunt critters that are larger than whitetail deer. Unless you shoot at critters with larger hooves than deer, there is no need to upgrade caliber.
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.