People always want to help if you give them a good reason why, be honest tell your story you will be ok,.
Most landlords today know that renters in this market don't have great scores. It's going to be your recent payment history that will be looked at more diligently. Many folks have foreclosures or bankruptcies or medical bill issues but a good payment history over the last 6 months to a year will be in your favor. It will depend on the landlord of course. I have a 3 bedroom condo with garage in Bolingbrook right now for $1250 if that would suit your needs. Let me know.