OP, neither UIC or “all the public schools” in Illinois can accurately be described as “bad.” I’d encourage you to further your research on college quality in your area by talking to alumni or employers.
A UIC finance degree would be a lot cheaper than a DePaul finance degree and I’m not sure the best students at UIC are getting worse jobs than the students at DePaul.
Northern Illinois University is rated in the top 20 in accounting.
Good luck finding a good school that you like and can afford.