Hello, and welcome back to Just Answer.
Three of the most well regarded Universities in Chicago are:
University of Chicago, located in the Hyde Park area, and which is best known for it's schools of medicine and law. http://www.uchicago.edu/index.shtml
Loyola University, whose main campus is located on the city's north side, also has 'annexes' throughout the area. It is best known for its law and medical schools. http://www.luc.edu/
Northwestern University, one of the "Big Ten"; well known for its general academic excellence, business and law schools. It's located in Evanston, north of Chicago.http://www.northwestern.edu/
Other excellent schools include the University of Illinois--Chicago Circle Campus, and DePaul University.
Since your trip is planned for March 14, it might be a good idea to call the Universities you might be interested in visiting and request informational brochures. Of course, you would need to schedule a meeting with the Dean of the school you choose, on that particular date.
I hope you have found this answer helpful; if so, please click 'ACCEPT', as this is the only way I am compensated for helping you (although you have made a deposit, no payment is released to the Expert until you click 'Accept'). Your Positive Feedback is also always greatly appreciated.
If you need any additional information, please click 'Reply''. Thank you for the opportunity to be of help!