that all depends on how far you are going to be shooting. for fairly close shots a 30-30 will work but for on out there shooting you'll need something with a little more zip to it. or if you are really adventrous you could go with my wepond of choice the .45lc a heck of a pistol in mho
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.