Home On The Range has a lot of connections to Boys Town in Nebraska. Over the years, HOTR has sent folks to be trained at Boys Town at least a couple of times, and at one time it even called itself "Boys Ranch." For what it's worth, HOTR additionally has local connections to the Fraternal Order of Eagles in North Dakota and, of course, the Catholic Church.
Earlier in its history, Home On The Range was also an option for kids whose parents could no longer take care of them for a variety of reasons; that is, it functioned as a long-term foster home. Not sure if that is still going on.
Modalities that I've seen mentioned on HOTR's pages include: Reality Therapy, use of the Character Counts! curriculum, EAGALA (Equine Assisted Growth and Learning Associations), and staff getting trained in reactive attachment disorder (not sure whether they go so far as to "practice" Attachment Therapy though).