I bowhunt in Illinois every year. For archery you need an out of state hunting license (about 55 bucks) and then a deer tag (About 250 bucks for a buck and a doe). The license can be purchased easily and anytime but the tags are the hanger. For archery they are a lot easier. They can be purchased over the phone but they only issue 15000 and demand is high. They sold out in one day last year. I think they usually go on sale in July.

Illinois also has a short black powder season and a short shotgun slug season. But if you aren't a resident I think you have to sign up and try to get drawn for a black powder or shotgun tag. You can't just buy one. Illinois has no high powered rifle season for deer. I'm not sure if these tags are higher than the archery tags or not.