this really takes the biscuit!
You want him to have the responsibility to pay for his child, yet you are not willing to aknowledge he is her father. Whilst i would normally advocate that the money side of things and access side of things should be kept seperate (ie can only visit if he pays money) the truth is that he IS the father. You chose him to be the father, and no matter how much of a mistake you think that was now, you cant erase your daughter (who I think has a right to have her fathers name on the certificate) and i suspect you wouldn't want to. You have irrevocably bound yourself to this man for ever more by bringing a child into the world with him. He has a court order, so no matter what you do he will still be seeng her. Here's a thought - perhaps he would stop harrassing you if you put his name on the birth certificate?
I am really sorry that your relationship is troubled, but unless he is a danger to her, i cant see what the problem is with having her own father having rights and responsibilities into how she is raised. After all she is not just your daughter, she is his too, not some possession of yours. I dont know what the law answer is to your query, sorry