I remember running 33x10.5x15s with just mild shackles and the rear re-arch. fit just fine, especially in front, they tuck really well, like they were made for it. Never run a 16", probably won't matter.I don't like your tire choice; it's too wide. I would try to stay 10" or, preferably, under. Plenty of choices in a 16" rim to chose from.
What if; you had your students simply disassemble the front springpacks, then clean,treat,paint,lubricate and reassemble rather than ordering new springs. Take the rears to the spring shop (field trip) for an historical glimpse and metallurgical lesson.
You don't need new springs unless you really want to need new springs. nice thing about old springs is you know they'll fit.