Your insurance, if it has not already, will send you a subrogation questionnaire. It will ask if the treatment was for injuries sustained in an accident. When you answer yes, they will look to recoup costs from the van owner and if applicable, any other insurance that comes into play. (previously mentioned homeowners or car insurance, accident insurance that may come with your job benefits, etc.) At that point, while you may not be litigious, you can be certain that your insurance company is. They will seek compensation from any relevant insurance and will file suit if the judge it to be in their interest.

Do a search for subrogation and accidents. I found a bunch of interesting stuff.