Some rules state you have to use the Egg trap so make sure read the rules. You can use cages for coyotes and cats if you have a cat tag you can keep one. Cages work well for racoons. I would check very early and leave very early. Use a disguise - meaning look like you're out for a hike if you have to be there during the day. Don't draw attention. The more patternable you are the more people will want to know what you are doing. I know a guy who carries a bucket. The top 1'' of the bucket is a lid that has a bunch of garbage glued to it so it looks like he's picking up trash. He carries his catch under the lid. I would not wear camo or anything that looks like you might be a hunter. The more you look like a city person who is out to experience nature the better off you are.
I'm gathering that you may not be from Illinois? Maybe a western state? We don't have many ranches here and no ranch is on public ground. There is no open range or rented range as far as I know in Illinois so figure you are going to be right in people's back yards and they will all be watching you catch their furry babies. I would stick to cages and keep very quiet. We only have one public place here and it is covered in dogs and people walking them. Figure every kind of dog will be there from time to time and kids and people riding horses and bow hunters, squirrel hunters, rabbit hunters. Are you getting the picture? You'll do better on private ground if you can get permission.
There are some guys on here in Northern IL who might be a help finding places? Not sure if you are around Rockford but on of my friends died who trapped close to there and he had a lot of the land sewed up. - just saying
I grew up in Texas, but went to school in IL (name is a clue), worked for a time in Iowa, and live in IL now (Kane county). I don't have any connections for private land, but there are several smaller farms even in this part of the state and I guess I just need to go knocking on doors. This will be my first season so I'm still trying to figure everything out (watching lots of videos, reading, and talking to people) and gradually assembling my gear. I thought starting out on public land might be a good way to learn before I start approaching farmers, but the more I learn, the more I'm doubting that.
Reading the regulations for this site, egg traps, dog proofs, and cage traps are all allowed for land sets, but coil springs are only allowed in water (and only a small jaw spread). Blaze orange is mandatory so I can't really dress to blend in, but it's actually pretty remote so I don't think it will be too crowded. It would be nice to find a place I can use my new MB 550s.