We're just going to continue carrying our daughter on my insurance. I called my insurance company and she's all set, although they will process her claims through the "out-of-state" arm that handles us if I'm sick/hurt on vacation, overseas, etc. I've never actually had any claims of that sort, so I hope it all runs smoothly.
BTW, the paperwork for adding/waiving student health insurance was specifically addressed "to the parents of_____"
Also addressed this way: a card with instructions for her to officially add our e-mail to her student account billing statements.
I also seem to recall a FERPA waiver form, so that we could see her grades.