I think it's a great idea. Sounds like you already have standing in your community, and that your abilities are already appreciated.
As a Fitter, I have great relationships with several medical professionals with whom I do mutual referrals. Beneficial for me, as I can alter the bike setup, but I can't fix the problem. The Doc can't fix the bike, but they can address the rider.
Agree that many coaches do not have the expertise or experience to accommodate injured athletes, especially post-op or *ahem* those athletes over a "certain age".
The other niche to get into now is "Texting Neck". It's going to be a shitstorm pandemic of cervial misery in the next 20yrs or less.
I agree in principle but what if there is a conflict? IE if he does an exceptional job for 19 athletes but actually creates an injury in number 20?
Then he/she/they are tasked with fixing the problem and there might be some ass covering/shifting of blame because they are the experts in all areas.
I also have great relationships with various local health professionals an I appreciate their impartiality.
OP, not meant as a slight on you personally, just outlining a possible scenario.