Lots of options. Others here will mention FHA with seller contribution, Nehemiah, AmeriDream, and any local programs in St. Paul. A good mortgage broker can advise you on those.
Further (not a plug) I'm finishing an e-book on how to buy without getting a new mortgage. Most are no (or little) money down. Among them: subject tos, lease-options, lease-purchases, deed for trust, wrap mortgages, and equity sharing. Even borrow the commission from your Realtor.