he’d probably give up all rights to our daughter

Most state laws will require the consent of both the custodial parent. So he would be forced to get a job and start paying child support. In my state parents have 90 days to start paying child support or they go to jail for a month.

He would be forced to co-parent.

I can't believe he would even say something like that about his own child. That is disgusting. How can he look at his own daughter and not want to support her? I'm sorry you have to deal with that. That sounds very emotionally abusive.

The idea of starting over from scratch is not really appealing.

I know it sounds scary but there is someone out there that will love you and treat you with respect. You only have one life to live.

I need to be more financially sound, have a concrete full-time job

I def understand that reason. It would be tough making it alone without a steady income.