My husband used to live in a forest preserve near my dialysis center when I was still on hemo, and one night I walked out his back door to see a pack of four or five coyotes in the street and the end of his driveway near my car. I slowly backed around the corner to the house and went inside, then he walked me to my car with his shotgun. This was probably 01:00.
Pretty sure it wouldn’t have been legal for him to shoot them, even on hos property knowing Illinois laws.
I don’t know where you live in Illinois (I’m in N. Illinois), I live in a small municipality, it would probably be illegal for me to shoot them in the city. There are other alternatives, pepper spray, even stun guns if you have a FOID card.
There also those ballistic batons, I think they call them. I don’t know if a FOID card is required for them.