I think you should drop the going back and forth about the school issue. It is getting you pissed off and I am sure it is doing the same to her. I tried similar negotiations with my wife and it got me nowhere. The L's are separated from the emotional aspect and can provide a buffer between the two of you. If both L's are not sharks, there is no way this is going to court - they will be able to haggle back and forth to reach a settlement you both are equally unhappy with.
It does not work to practice some of Sun Tzu's Art of War to try and piss her off so she would make rash decisions. Highly charged emotions is the last thing you want during the tricky negotiations involved in a divorce. There are so many other details besides your D's school to iron out. Life insurance. College. Health coverage. Tax deductions/credits. Division of assets/debts including retirement. Permanent support. Parenting plan.
It is probably best not to discuss too many details of the D with your wife. Keep your cards close to your chest.
