Heretic Fr. John Zuhlsdorf Claims SSPX Schools Are No Better Than Protestant Schools Or Public Schools!
SSPX has 28 schools in the United States see here.
How many schools does Fr. Z have? 0
Convert to the Catholic Faith always has advice for the SSPX:
It may be that sending one’s children to a Protestant school, which provides good moral training, decent scripture study, and quality overall education, might be an option for some parents, who will then have to take the extra time to teach their children the Catholic dimension they will miss. They may need to correct Protestant heresies and errors. They would probably have the difficult task of teaching their children to respect their teachers, but not believe everything those same teachers tell them.
Other parents could choose a public school. They must then shoulder the entire responsibility of teaching the Faith to their kids.
Others may choose a school operated by the Society of St. Pius X. These parents will also have to supplement their children’s education in the Faith to stress the importance of fidelity to the Bishop of Rome and obedience to proper ecclesiastical authority. They will have to teach their children to respect all priests and bishops. It could be, in some cases, a reasonable option to choose.
I would monitor very closely what your children are being taught. But that rule applies no matter which school they attend!
I caution against regular participation in Masses offered by the priests of the Society, especially if there are options available in parishes that are in full communion with the local bishop.
I strongly caution against reception of Holy Communion at these Masses, especially in places where the local bishop has made his magisterial opinion known.