Kait had some good suggestions.
Some TBs can be very talented at jumping, but aren't suited for it temperamentally. My boy is the same way, which is why we do very little jumping. That, and I have about as much grace jumping as a drunken howler monkey!
What about the other show people you know at the barn? How about your daughter's trainer? She should have a lot of contacts in the horse world.
Good luck, and I hope you find the right horse for your daughter.