If you want to live near the campus then look at Oak Park and River Forest. Do not waste your time looking in Maywood. If you want to live closer to the city or IN the city, then imagine what kind of living situation you want (loft, apartment, condo, etc.) and how close you want to be to the city (downtown, west loop, northside, southside, etc).
Then you can call Chicago Apartment Finders or Apartment People Chicago... I'm pretty sure both of those places can help you find apartments in the oak park/river forest area. They are FREE services for anyone interested in renting. So call them up, tell them that you're a med student looking for housing... and make an appointment. The one thing I will say is know what you're looking for. I have used them in the past and they helped me find my apartment, but I went through two different agents. The first one was very frustrated with me because I wasn't sure what I was looking for... didn't know what area I preferred, the kind of housing, etc. The more specific you are, the better off you are... of course be willing to compromise on some things. You can also check out their websites and do a search of apartments that way. They keep the address/contact info hidden so you HAVE to go through them (the way it works is the person listing their apartment for rent pays the apartment finder company one month's rent if they can locate a renter).
Another free service you can use is Craigslist.
So to recap: Oak Park/River Forest is where most of the Stritch students live... and both of those areas are REALLY great places to be. That's where I would start my search.
Good luck!
-I'm not a student at Stritch but I know the place well.. and I'm a chicago resident