Full Contact insurance

For the first 2 years FEKM Krav Maga training is light contact.
But for the green belt and above (blue, brown, black), students below the age of 40 have to fight full contact 2 x 2 minutes. No winner announced but this is a test of courage, composure and respect.
This would be no more frequent than once per year.

Our regular insurance only provides for light contact, and assumes that injury by excessive force is accidental.
Full contact is assumed to be reserved for events and is not insured. They say that even white-collar boxing is uninsured. Is this true?

So I am looking for personal injury insurance for those events for my students. I have found companies that insure boxers, but the cost is prohibitive and assumes frequent competitive or heavy contact sparring.
Are there MMA clubs out there (MMA is the closest thing that I can see to our grading bouts) that carry insurance for training and for hosting events where full contact is practiced?

Does anyone know of injury insurance for very occasional deliberate full contact or an insurance company that might discuss it?