In that to "government" types, any idealogically driven organization is "political", good luck to actually proving it, but if you were to present a staff of ph. d's and divide the topics into majors... a sharpie could probably pull it off.
Testing, matriculation, AND a credit hour, or semester hour fee... even miniscule would do... since you don't actually charge, but RAISE donations for the LLC you currently operate, THE lack of tuition is probably the biggest hurdle.
BUT despite the legal classifications, the EFFECT and the bonafide operation of the non-profit, research and educational corporation is probably a loophole you SHOULD be looking into.
We have computer technology majors teaching here, psych professors, religious ph. d.'s, med researchers and doctors, clinicians, research biologists, cultural anthropologists, biologists majoring in macro cellular physics, english majors, HISTORY lecturers, quantum physics doctors... What the heck do you need to figure out what is being done here... Mr Computer Science instructor, robinson?
Were all the energy being spent on "home room monitors" directed towards twenty or thirty syllabi, with term papers due every thirty days from "students who pay tuition via the internet," I don't see much difference between this an a few other "distance education" graduate schools on the net today.
The educational nonprofit, slips between the categories of charity and business nicely.
FWIW.
Works for me.