It's tough getting a Coyote with any type of Archery Equipment/Crossbow...make sure You have good shooting lanes since most tree branches or brush can veer Your arrow off target!Coyotes have great noses and usually circle down-wind when coming in to any sounds.
If You miss or loose too many Coyotes to the crossbow I suggest a good 12 gauge shotgun for any thick areas Your hunting and a .223 for any open areas you can get longer shots on,once the Coyotes know Your hunting them they will be more cautious and harder to call in!Check what other Predators are in a season in Your area because You may call in Bobcats and Foxes too!