It's doable my dd pitched all through HS played 3 varsity sports, marching band,concert band, NHS, student government and pulled down top grades. It took a lot of coaches and a band director who were all willing to work with her. Is it for everyone? Nope but it was what my dd wanted and she made it happen. What your dd wants and is willing to make happen. She doesn't have to give up pitching. But if she wants to, let it happen.
Thanks chinamigarden. She is the captain of her own ship, but my guess is that she will give up basketball before she gives up pitching. She has decided to do both for this season (10th grade), but she is definitely not as excited about it this year as she was last year.