This might be a tough pill to swallow but I would not share too many of the details. I can completely relate to the desire to "jump in and help" (it was several, angsty years after I got my EMT certification before I actually got a job using it). That said, I think the biggest issue here is the lack of formal structure. You had no medical director, no protocols, no supervisor, no quality control department, no documentation, and no official accountability. You may have done tremendous good, but certainly other "street medics" have done harm. Without the infrastructure that implies "this person was supervised and did okay", adcoms will be left to wonder which type you were.
Not to mention, this issue is extremely politically charged.