Here's an interesting article: Law allows babies to be adopted without notifying unwed fathers.
I have some strange ideas.
What if an unwed mother has no right to financial support from the father of her child, other than what he chooses to give her, and she knows that from the get-go.
What if an unwed father has no custodial or visitation rights and no rights to block adoption, other than what the mother gives him.
We have a framework in which the law can regulate relationships between men and women and their rights regarding offspring: it's called marriage. Don't want to get married, fine, but then perhaps the courts should not be called upon to sort things out.
Just, you know, some ideas. I imagine there would be a lot of hungry lawyers.