If it is any consolation, as someone from a Catholic family and who spent 11 out of 13 years of K-12 schooling at Catholic schools, mainstream Catholic schools

If it is any consolation, as someone from a Catholic family and who spent 11 out of 13 years of K-12 schooling at Catholic schools, mainstream Catholic schools do an utterly woeful job at indoctrination. Your average Catholic school is more likely to turn your kid into an atheist/agnostic than into a convinced Catholic. The really conservative ones, like Opus Dei or SSPX schools, arguably do a much better job of indoctrinating their pupils (although even for them, there are plenty for whom it doesn’t stick)-but I assume they are not on your menu. Even if you were willing to consider them, they probably wouldn’t be willing to consider you.