This is something I explored with Meltzer when I had my labiaplasty back in the day. I had two concerns about it -- first, like you say, having the labia minora extending the full length of my vulva. Second, I wanted it to originate not as an extension of my hood, but from the bottom of the clitoris itself. These were a no-go, as Meltzer explained that there were issues of blood supply that he was not willing to compromise on.
I'm actually still interested in pursuing this if there's an opportunity, so please keep us informed, Chinee!