C.S.
Best to think this through carefully. Collecting child support will not be easy, should you ever need it, but if you don't want visitation hassles, it's the way to go. Also from the baby's standpoint, is this a family that might contribute one day either through support or history? Do consider that the subject will most likely come up one day. Do you have an explanation ready that would satisfy you if you were in your child's place?
Tough decision. I wish you the best!
C. S.
PS...Also might want to consider collecting all the medical history you can on the real father either way.