have to get back to work, but take time and think about your response, following above rules. keep it short and simple. Think about logical reasons she should attend the school you want (like DD already has to be in the car for so long as it is, does this make it, I don't know, a shorter drive for DD? The reasons have to be about DD, not you, or they won't work or get heard at all), but don't send it til you've thought it all through.
Do you have to decide her school now, in June? If not, maybe propose discussing it with new co-parenting specialist you guys will see, not the L's and court.
When the men on the chessboard Get up and tell you where to go; And you've just had some kind of mushroom And your mind is moving slow; Go ask Alice... I think she'll know.