Come on. You obviously read a lot. You must have read that tuition doesn’t cover the full cost of a student, even when “full pay.”
You are on a Yale subforum. Let me be emphatic about this. Your daughter’s COA will be in the neighborhood of $70/year, if your finances are as you say here. Some people believe Yale is worth that (including me) and others don’t (that’s what makes horse races). If your opinions are what you present them as here, your daughter would be better served by your spending time looking for merit aid. And Yale, by Ivy League rules, does not award merit aid.
Grousing can be fun, but it won’t change your daughter’s COA.