This sounds horrible. DS7's current school is also rejecting subject acceleration and grade skipping. We are leaving to go full time homeschooling next year.
I don't know where you are, but in California, there are some public charter homeschools. They provides some in-school classes. You will not be able to work full time, but you can at least take your kid to school twice a week to up to 4 x a week (full day) depend on the program. And you will have more control of what she will learn at home since she will be spending more time at home.
PM me if you want to know more.
