Hyde has seminars... the proverbial confrontation scheme; school purges (not sure what they call them these days); ten "core principles" (5 in my day); work-crew (now called 2-4); obligatory participation in drama productions; wilderness is during the required summer intro (but now they also have 1 or more outside places they send you to during the year), they briefly toyed with setting something like that up in Georgia but I'm not sure how that panned out (this was also a single ref found on ST, so go figure).
I'm probably not the best person to ask re. a "typical day" as it has been awhile for me. In some respects it is like a traditional boarding school in that you actually have classes, but academics is definitely subservient to "character education." In my day, your grades had two components, the "real" academic part and the "character growth" part, and somehow the latter also affected the former, no matter how you did. The character issue -- how your "attitude" was -- bled into every aspect of the school, from sports to academics to dining to dorm relations. Virtually no free time. Can remember going off campus but a few times (and you can lose that privilege, to be sure).
Founded by an eccentric megalomaniac who is still involved, although the next generation does most of the day-to-day. All the upper administrative personnel are either married or related to one another. There's been a fair number of pretty traumatic and egregious sexual transgressions committed by former faculty, whom the school welcomes back and considers to be "part of the family;" its probably safe to say that the kids affected are unlikely to return. They have a saying, "If you don't make it at Hyde, you'll never make it anywhere" which haunts a number of people.
I think the philosophy evolved out of a combination of AA/CEDU/Synanon, with the emphasis on the first one, although it definitely is Joe Gauld's personal take on this... There was a Time-Life spread on Synanon sometime in 1962 (then seen in a positive light), shortly before Joe founded the school (1962 was when allegedly, according to him, that decision was made). And he has dealt with AA extensively due to his wife. And there are tremendous similarities (at least to me) with est/Landmark Forum etc. the whole LGAT trip.
The seminars could be really brutal. And they had a version for the parents as well.
Unfortunately, I need to go now and can not say much more at the moment. I'll check back later to see if anyone else has chimed in.