You're unlikely to find a procedure suitable for home use, a little googling will let you know the industrial procedures, so you can see for yourself.
Question -- you removed caffeine from tea in your class lab, but discarded the tea, can't you just not discard the tea and have decaffeinated tea? If you've contaminated the tea too much to be usable in the process of your 1st year class, well, doesn't that answer your own question about the feasibility of diy decaffeinating?