If all else fails...
She is not fearful. If these biting attacks were out of fear, I’d understand. I’ve trained through those kind of things.
Flick her nose when she bites? Yell at her? That’s bad ju-ju.
No, I did not say yell at her. I said use a voice which conveys displeasure. My Maine Coon used to be very bitey, too. After a couple of years of this conditioning, she is over that. I wish you every bit of luck in trying to get this young lady socialized.
If all else fails...