Thank you.
I think that there is one called Miles Christi - a sort of semi-trad/conservative order with the Traditional rite of Mass. I think that they are very much in the Ignatian/Jesuit mould. There's not a great deal about them.
I've seen adds about the M.C. But I don't know anything about them. The Legionaires were very conservative, outwardly praising Pope John Paul II; but after all the scandals of Fr. Maciel and the intervention by Rome, I don't know what happened to them.
I knew of another group in Barcelona, Spain that was also very Jesuit, formed by a conservative Jesuit priest; and the Lumen Dei, of Madrid; another Jesuit, trying to establish a traditional Jesuit order; the first was hopelessly compromised by trying to be traditional while going along as little as possible with the Conciliar religion; and the second was secretly i.e. Internally traditionalist, while outwardly pretending to go along. The Lumen Dei was intervened under the charge of being a sect and its founder removed.
The LC have rebranded as
Regnum Christi; they appear to have subsumed under a federation that includes laity and consecrated religious:
https://www.regnumchristi.org/en/mission-2/ Fr. Matthew Schneider, for one, still tweets with the LC in his title yet also references RC:
https://twitter.com/FrMatthewLCFor a while when I first reverted, I attended a parish in the Bronx where the pastor was formerly high up in the LC hierarchy. The parish is very much in the "reverent" mode with full schola on Sundays, and they take Holy Week quite seriously for the NO. Most Masses are not in English, and of the latter, these are attended mainly by rather conservative Nigerians. When I was there, it was always packed.
So my guess is that, outside of a very tiny percentage who follow such matters, the typical non-trad Catholic has no idea who Fr. Maciel was.
As for the Carmelite Sisters, there is a convent in Brooklyn that offers daily TLM but is planning to relocate to rural PA due to the general moral deterioration of the Brooklyn neighborhood. In PA it would be -- for now -- Bishop Bambera's diocese, which also happens to include the US headquarters of the FSSP. Yes, the FSSP were assured back in February that they are "safe", but given everything happening these past weeks with DC, Arlington. etc. and the intimidation from the Vatican, it's been an effort to not think too much about the future. SSPX chapels are a bit further away, yet I must continue to remind myself that the Lord will sustain us.