I scanned through this thread and wanted to make sure the things that I would be mentioning had not been mentioned prior to this. My husband and I trap, so I wanted to offer some pieces of advice.
1.) If you ever see any coyote scat, usually like dog scat but with hair/fur in it, remove it as soon as you see it. Trappers actually collect scat off the trails and use it right next to traps in order to attract other coyotes, because they usually mark their food stashes like this. If one coyote sees that another has left a mark in the area, they will go "Hey, there is some sort of food source here."
2.) Look to see if there are any trapper's associations in your area. I know in our state, they provide a list of people that have permits and trap nuisance animals. Trappers around here are required to check their sets every day, so you won't have a predator sitting unnecessarily out there for days on end. Most of them will kill and remove the animal.
3.) Try to pick up stray feathers or possibly any pieces of fur floating around your yard- this is a visual stimulant for predators. I know you cannot do this all the time, but it is a good practice if you have some spare time.
These are just some quick thoughts that I hope may provide a bit of help. Please keep us updated on this situation.