I've seen a number of D1 players on TV using Wilson A2Ks, which are baseball gloves. I'm pretty sure if they can, your DD can too.
Wilson made the A2K series in fastpitch gloves. We have one, the A2KFP-AW 12" model, and it took forever to break in, but she loves it and with proper care it will have no problems lasting until college. She's 12u now.