It will depend on which south suburb you want to be in and how many bedrooms and bathrooms you want. If you want to be in Calumet City, you can find a 3-4 BR place in your range. Let me know if you need a referral for a leasing agent to show you properties (you don't pay them for their service).
are in Attorney Ranj Mohip is a Chicago real estate attorney. The information in this answer is general information and is not intended as legal advice. Further, answering this question or otherwise contributing as a member of Trulia.com does not create an attorney-client relationship. Remember--consult the best real estate attorney in Chicago or in your respective area.