Our Lady of Sorrows, in Phoenix, I understand, was know to have said from the pulpit, their school was correct and not to have children go there, mortal sin??
AZ is very open to home schooling and it is Not a mortal sin to home school. There are vouchers, BUT, if a private school accepts vouchers, is the school public for taking the money/vouchers? You don't want the state to step in!
AZ is well established for home schooling, very friendly.