Do you know of a Benedictine ‘monastery’ in New Mexico?

Yes, we are familiar with them. Unfortunately, they do not hold the dogma Outside the Church There is No Salvation, but agree with the SSPX that souls can be saved without baptism and in false religions. They also hold that John Paul II is the Pope. They are basically an SSPX Monastery. Certain SSPX priests go from the SSPX into the Monastery and then back into the SSPX, although they would “officially” claim that the Monastery is not strictly affiliated with the SSPX. I also believe that Bishop Williamson has gone there to perform ordinations, although I’m not 100% certain about this. Thus, their positions would be in line with the SSPX.