I think Christendom College and Thomas Aquinas College already exist. They are not “traditional” per se, but they are more traditional than Steubenville and produce many vocations.
I think Steubenville is a good Catholic school. One thing I worry about, however, is the growing idea that Steubenville is the same thing as Catholicism as if former is not just a part of the latter but is the exact equivalent of the latter. I keep running into that idea among Steubenville devotees.
Both of them were founded and are run by orthodox Catholics, not by schismatic or semi-schismatic "traditionalists" falsely-so-called -- sedevacantists or others -- those who reject Vatican II or the 1970 Missale Romanum as invalid.
SSPX has founded no universities. Neither has the SSPV, neither has "Pope Michael", or "Pope Pius XIII" or any of the other numerous sedevacantist groups.
I would never say that Steubenville is the same thing as Catholicism (neither would they -- that's why they take the oath to the Magisterium, not to Steubenville!).