The mother of my child lied about keeping her pregnancy. Iwasn't told until she was 6 months pregnant. I was married and she hassarred my wife and family and threated my career. She doesn't want my wife around her baby and we just did a dna test. I am the father but now I really feel in best interest for me to just pay my support and keep away! Can I sign my right away

Don't ask for visitation or custody and you won't have any rights to visits with the baby.

No one can force you to visit.

You CAN "sign your rights away" if someone else is willing to adopt the child and you sign a consent.

You can not sign away your rights, but you don't have to use them, there is no law that says you have to visit, no law that says you have to ever even call or talk to the child.
You may just pay your child support that is court ordered and never see the child.

As stated above, just because you have rights dosen't mean you have to use them. Just like voting you have the right to but no one makes you. So, if you don't want to be a part of your child's life then just pay the support and don't have any contact simple as that.