i would definately go after the child support at least. however, you cannot make him love your child if he doesn't want to but you CAN make him pay child support on her. That may honestly make him think twice about nothing to do with her....sometimes that is for the best for one parent to be totally absent from the child
i grew up without my dad and i can tell you from experience that it hurts like hell to not grow up with daddy, he and i have a beautiful relationship now, and me with his wife-but now that i'm older i understand and am actually thankful i grew up without him there (in a way) because i didn't have to go through, everyother weekend/holiday/birthday and parents bs a lot of kids have to go through...do you really want your daughter going through that, her possibly calling another woman mom?? that's hard, my daughter stresses big time because dad was ok with her calling his new wife mom but not my new husband dad..it stressed her out, so i told her, ok she's (name) and he's (name) and you call mom and dad mom and dad, end of story.
you can always explain to her that it's just best that it's just you and her only for now, and when Gods ready, he'll provide YOU a good husband and HER a good father that will be there as a father should be, eventually bio dad will have to explain himself to her if he has any dignity...she may not want it when she grows up, will be her choice then.