Rory Calhoun works for the state Recreation and Conservation office, is active with the Citizens' Task Force for the Disabled, and is also an avid wheelchair hunter. I worked with him years ago on a disabled road access entry hunter opportunity. I suspect he could help you find as many disabled hunters as you'd like for an opportunity like that. rory.calhoun@rco.wa.gov.
For future years, I am sure WDFW would be very happy to create an antlerless-only archery permit hunting opportunity, outside of the general archery season, so they couldn't legally kill bucks. Last I knew, Ruth Milner in Mill Creek is your district wildlife bio.