I think he has already made a HUGE commitment to being absent from her life. Sounds like he is going through whatever turn-of-the-road-current-mid-life-crisis at the moment, and needs to see her to make amends to himself. I would let him go to court for visitation...not as a way to mean to him but only as an avenue for him to prove he is committed to being "IN". And I would explain it as such. Perhaps if you hadn't had to file for child support, I might view it differently. And I do not equate child support with visitation...but I do equate the efforts behind each area.
I would MUCH rather tell my daughter one day when she is grown that her bio-donor made the choice not to pursue his legal right of visitation or parenthood, rather than tell her I took her to a park and let him physically see how beautiful she is because he asked for it and he STILL decided not to be involved. I am trying to keep her future daddy issues to a minimum. I think it is okay to decide against parenthood in general, but not okay to abandon a child that you actually meet.
And, on a side note...I have read tons of responses on mamapedia about how a text, email or facebook message is a cowardly way to make amends or resolve personal issues...and I tend to agree. He should have called. I think he he still a coward.
Your daughter is not an exhibit....to be visited and seen every once in awhile to satisfy his curiousity. It is unfair to her to create that dynamic. It is not fair to her to have to be presented to him a few times to "kick start" him into wanting to be a part of her life. She is not a puppy at a pet shop that you mull the decision of pet ownership. As a grown-up, he made a choice he has to live with.
But you get to make the choice of what your comfortable with, of course....I can only say how I would handle the situation. (and have, actually) Although you do say yo don't want him to pop in and out of her life....and that is exactly what he is asking of you at this point.
I know this is hard to go through, best of luck to you.