If I was the student and had been left to my own devices when I clearly shouldnt have been (evidenced by the fact it all went wrong) I would be too busy filling in my claim for compensation than reading these threads - but just in case he/she is, try this:
Never mind paying THEM for their damage, what about YOUR mental shock, brand new but painful neck trauma, head aches, nightmares and now having to overcome a fear of flying!?
That could rack up enough cash to pay for your CPL/IR! (Either that or it will shut them up and make them go away with their silly damage claim) Oops what have I said