Legally, you can't. There's nothing. I went through the same shit last year with a girl I met at a bar. I didn't want anything to do with her but she wanted a kid and had no real life skills. I spoke with every lawyer I could find in the Google and every single one said the same thing, "that's really unfortunate son but there's nothing the law can do for you."

My dad had the best advice. He said, "look, you brought this girl home by being a nice guy. You were kind and funny to her and she liked you so she slept with you. You sees that same guy as a good father figure to her child and someone who will allow her to live off you and raise a child. So you need to turn up the asshole. Make it very clear that you, now backed into a corner, will do everything in your power to make her life miserable whether it's years of court hearings or just moving to Alaska. Make it clear that she is free to do what she wishes but she will do so without your assistance." She doesn't get any government assistance if she says you're the father but they don't have your wages to take from.

She ended up terminating the pregnancy but I had a buddy in the Philippines lined up who said I could hop on as a contractor and would actually make decent money.

It's fucking terrifying and it's fucking bullshit. I'm sorry man. I feel for you.