Interesting that you even prefer Schuyler for a girl, and not just Skylar / Skyler. I always think of the latter two as more androgynous than the former. :)
I think Schuyler works for a girl because of Schuyler Fisk, Sissy Spacek's daughter. She hasn't been in too many movies, but her presence cemented it as a girl name for me. I don't really see it on a boy, to be honest.