We did mention to the teacher that incentives had worked before, and work at home, but for some reason she seemed cool to the idea; maybe she thinks DD is enough work as it is, but I do think that it would make her work easier as you suggest.
Sometimes teachers have a hard time seeing how the short term investment of focused work on a problem will yield the long term result; and if they're not used to this way of thinking, it can be hard for them to see why some kids need the incentive when most don't. ("You're so bright, why can't you just behave," etc.)
We have an appointment with a specialist for a couple of weeks from now and hope that will be helpful. I'm just worried because we really don't have that many school options here, and DD is actually very happy where she is, for now.
A dx would not necessarily mean a change in school placement; one can accomplish a lot by educating teachers and getting resources pushed into the current environment. A professional might help you get the school and the teacher on board to make it an effective environment for her.
Try not to worry too much. Worrying itself doesn't yield progress...
DeeDee