Your daughter's academic needs are not met by public school, and you cannot afford private school. Thus home schooling is your answer.Are you telling me, in other words, that YOU are her teacher?
Madam, you do her a disservice. My parents are great people but they are not academic educators, they thoughtfully left that role to someone who was trained in that regard. The educational process in the public school system is interrupted and tainted by parental intrusion- I see your daughter's case as the next extreme.
I dare say YOU will never expose her to topics that you may disagree with. And I also dare say the bias you cannot help but interject into her education will hurt her more than help her in the long run.
If you believe your solution to be effective, it is your life and far be it from me to tell you how to live it. But my official witness to the struggle of "re-integrated" children stands. It'd be interesting to see how easily your daughter adjusts to college.