I don't know where you live, but I would spend a day just driving around. Most of the places for rent are not listed in the newspaper or on line. You need to get one set up by June. You have to compete with the Truman students as well.
If you pay more than 600/mo, you are getting screwed. There are some nice ones just up the street from the school. Parking at the school kind of sucks and in the winter, the parking lot turns into a skating rink. Walk if you can.
Some places will even let you do a month to month verbal contract. Others want something in writing. There is a part of town where all the streets are named after chess pieces. There's some real nice stuff in there.