What kind of metro are you trapping in? I do not want the answer but Chauncey is smallville, so I would talk to the village cop, and inform him what you were doing and what I would do is set up, on land I had permission outside the city limits and shoot the b*tch and hope I would get the old boy in a second shot, as the chances of luring a coyote into a small cage is like the lottery. Twilight calling when they get vocal.
Your best bet is away from town, meaning dogs and cats, on land you can work. Ohio has legal snares so I would go that route on a travel lane.
You are almost getting into season there for denning, and as their food source is the town, they are going to be close. Locate them by howling or if you have a fur dog. Get the yotes whelped, set up with a pup in distress and they get aggressive around the den and will come in.
Jobs in town are nightmares, as there are always the accidental catch in a foot hold, or a nut who will find out, start stalking you, calling the police on you, and helping the coyotes.
I hope you catch them in your live trap, but without live bait, which is illegal in most locations, all you do is check traps. So while your cage trap is catching cats, I would get my binos and sit where people said they saw the yotes, find where they are moving and create the plan from that. At dusk you can park on a road outside of town and listen for them to tune up, (no calling), as they usually get vocal close to their bedding area. Coyotes make a great deal of noise as their voices travel great distances which tells other coyotes to stay out of the area.
I think your education will be to not take coyotes jobs in town, in it costs clients more than they are willing to pay, and it is humiliating to have them wondering why you can not catch them.
As I said, I hope that you catch them easy, but I do not know anyone who has it easy when it comes to coyotes.
