I went through this. (Although my circumstances were WAY different.)
Some questions for a paralegal, or legal atty. (I have no experience, and therefore feel as though I should state you should contact the County Atty's office, or Chrysylis.)
-Do you have to legally have to put a name on the birth certificate? (I didn't.) I knew my daughter's father didn't want to be on it, or have anything to do with her. When they asked who the father was I declined to provide the info.
-If you aren't receiving assistance, and no one is on the birth certificate- he won't have any legal rights unless he demands it-- right? (You might want to make sure on that.) (And if he does demand it- you can request a paternity test.) If he's stated that he wants no rights concerning the child- you could always have him sign a statement in front of a notary. (This will probably not hold up in court- but... it could help your cause if he later changes his mind.)
The legal process will be time-consuming and costly. And the judge may want his name still on the certificate to ensure you're receiving enough support for yourself and the baby. MN is a very conservative state. That's just something to keep in mind. You may go through the whole process, hire a lawyer for both sides.. and the judge might still tell you that the 'father' needs to still be involved, (ie: paying child support.)
It's important you never lie in the process. You want to prove you're a great mom- all on your own.
I highly suggest you contact a lawyer, or attend the child support question workshops that happen in Hennepin County on Weds. (I am friends with a lawyer who always mentioned to me that I should attend.) They're really informative, from what I know.
Most of all? Good Luck. It sounds like such a terrible situation, and no doubt you're going to hear conflicting things about it all. Remember: You are going to be a great mom. We shouldn't be judged on what happens to us, but how we evolve past the situations.