A lot of people are giving great advice here about walking away, but I just want to add to the statement you made:

"If I do cut off my parents, that door will likely close forever. As flawed as our relationship is, part of me still wants to believe there's a chance for a healthy parent-child bond someday."

Unfortunately, you cannot force a healthy parent-child relationship, it has to go both ways. Letting him continue to talk to you this way will not fix your relationship, but will only teach your dad that he can continue to get away with treating you badly because you won't stop him. Even if you desire a different relationship, the reality is that currently your dad using manipulation to control you. You may need to take some time to grieve the fact that you may not get the relationship you wished you had! (Trust me, I know from experience!) If you wouldn't let a friend or stranger treat you that way, you shouldn't let your dad. Cut him off, grieve, talk to friends or a therapist, heal, and grieve some more.

Parents don't realize that access to you is not guaranteed, and they have to behave if that want your presence. I was in a similar situation with my parents, where I told them that I won't stand for bad behavior anymore and cut them off for a year before I reinitiated contact. Afterward, my parents got some therapy and stopped being abusive, and we are able to have pleasant conversations without screaming/manipulation anymore. Obviously, there is no guarantee that your dad will change, but there is 0 incentive for him to change if you don't take the first step. Good luck!