How about putting a middle page up with a warning?
So a student on the university network clicks a link to google docs and a warning appears warning of potential attacks using google docs, be aware, and click next to continue.
I don't think it's do-able, given the nature of SSL.
TBH, many faculty and staff will be just as bad; though, I question their assertion that anyone interested in a Higgs Boson would let a Uni-admin task distract them. Some physicists may not have any common sense, but are generally more tech-literate than average.
So a student on the university network clicks a link to google docs and a warning appears warning of potential attacks using google docs, be aware, and click next to continue.
Is this doable?