Mr. Underhill,
I will make this brief. Your first post is confusing; you state you have full scholarships at both UWisc. and UIll., and then note you have a partial at UWisc. If it's a partial at UWisc., and, as you note, there are no "real" conditions (no minimum GPAs, etc.) for the scholarships, then the solution to your problem is simple- go to UIllinois. Take the scholarship.
People agonize over slight ranking differences. Here's the thing- it doesn't matter. Really. If you're not going to a T14 (these aren't), no one cares. You either go national (T14), you go regional (T50), or, with a few exceptions (for example if you want to practice in Maine, UMaine is... well, it's an option) you should carefully consider the local market.
Both are fine choices for the Chicago market. Since you don't have any preference for living location or campus, take the money. No matter which of those two schools you go to, your viability in the Chicago market will depend on your performance at the school, with UIllinois being given a slight edge because (wait for it) it's the state school for that market. But just slight.
Don't overcomplicate this because of a slight disparity in US News rankings. Take the money. And congratulations.