There may already be
“…a non-sanctioned Tufts Parents Facebook group just launched and you can invite yourself and other Tufts parents to join. It is a closed group. (Note: I’m still attempting to connect with someone at Tufts to help administer this page officially, but until this happens, look for “Tufts Parents” on Facebook and join!)”
Thing is, I thought many colleges reserved the right to object to content directly negative. Can’t find an example but aren’t there TOS for the student FB pages?