Welcome to the forum. I can't help you with Illinois but I can tell you that a lot of the coyote or preditor hunters are closed lipped about where they hunt. Coyotes are a smart animal and quickly become call shy so the hunters don't want a new hunter causing problems in the areas that they hunt in.
My suggestion is to find a open area that is fairly brushy and has some ravines running through it. Set up a call and see what happens. Just remember that when they are coming in they are usually quite wary and will be looking for any movement so you are going to have to be quite still, even if you are sitting in a blind. You may also want to ask around a gun shop or a sporting goods dealer in smaller towns and see if they may be able to give you a hand.
Let me start by telling you the story of two Johns.
John number one went on a day hike with a couple of friends in the Cascade Mountains about an hour from Seattle. He somehow got separated from his buddies and became lost. John was dressed in casual cloths for a warm weather day hike and had nothing but a lunch with him. He spent three days in those mountains and luckily made it out to tell the story.
John number two, a friend of John number one, was much better prepared when...