I never heard of no science schools before, and I came from a religious country and a superstitious culture.
Closest thing I've seen for no-science school is, well, churches with specialized classes that one attends at least few times a week.
From where I came from, the school's subject here can vary; 'Christian Living', 'GMRC', 'Values', etc.
It isn't even in pure theory or text, but also participatory -- still, I never seen the point of the subject.
And concerning religious stuff, or even anti-intellectualism from where I came from, it's not enough to drop science altogether.
I've been surrounded by a lot of these supposedly anti-science stuff that is religious practices and beliefs -- all still incoherent for me, and I'm not even the most concrete and logical of learners I've known.
I could always read any sacred texts right now, or participate to any of the known sacred practices, and still couldn't make any sense other than it's a cultures' practice that anyone can just tolerate and get along, maybe some principles or ethics or so.
No amount of influence can 'brainwash' me apparently.
Because from my point of view -- it's the chaos from autism (sensory, social, emotional, language issues) that made me 'immune' from 'worshiping symbols and names', not it's order (logic, intellect, concreteness, materialism, "resistance", even morality).