Termination of parental rights does NOT enable you to cease support payments.

NO! There seems to be this myth that a parent can just voluntarily terminate their rights and get rid of their responsibilities. Had you browsed around a bit before posting you might have found this sticky note (https://www.askmehelpdesk.com/family-law/signing-over-rights-read-first-116098.html) at the top of this forum (instead of erroneously posting in the Children forum) that answers your questions.

I'm curious as to what makes you think you can dodge your responsibility to your child. You helped bring that child into the world. You have a moral and LEGAL responsibility to help support that child.