Will Carington, works for Noodle
While there isn't a definitive ranking system for private Catholic schools, there are a number of ways to compare Catholic schools in the Albuquerque area that interest you, starting with Noodle's private school search, which allows you to filter your search by religious affiliation and location. Each school's Noodle profile provides basic information about the school as well as suggestions for other schools to consider.
Another helpful resource for your search is the Archdiocese of Santa Fe Catholic Schools Office. You can find schools in your area using their school directory or call 505-831-8172 for more information.