I would like to know if there are supplemental insurance policies for people who study martial arts (living in the United States). Specifically, I would like to find a policy that covers injuries that occur during training. Like other sports and hobbies martial arts training can carry risks even if you don't compete (a broken nose, a torn ACL, etc.) I can't find anything through normal online searches, so my supposition is that this kind of coverage is too high risk for most insurance companies to offer. Still, I would love to be proven wrong.
Edit: I am not an instructor -- that kind of insurance is for liability. I am a student of martial arts. Also, I realize that injuries are covered by most insurance carriers, but if you have a high deductible plan the coverage may not kick in before several thousand dollars are spent. I'm looking for something that can fill the gap.