i'll bet you that you can count the no. of coyo's caught in cages each season on your fingers and toes.. and that is nationally!
get some offset footholds to catch them live...
unless you just fancy trying to get one in a cage.. LOL
bottom line.. i am betting you get highly discouraged.. especially if there is snow... you'll see them work your cage from 10 yards downwind..and leave a pile of poo and some pee there for ya..LOL