I worked as an Advanced-EMT (the "volunteer"-paramedic, as it's called colloquially) throughout college. Although I'm not exactly non-trad since I'm just doing one gap year, I did get 4 years of around 40 hours a week in prehospital medicine, and I can say that it was a fantastic experience, for a few reasons:
1). If medicine isn't for you, you'll find out quickly.
2). I think it's a fantastic, well-respected experience to put on your application. It shows that you know a lot about the field that you're getting involved in, and have a dedication to patient care. You'll certainly have a lot of unique experiences to talk about on your app, in interviews, etc.
3). Most importantly, it's a great job in and of itself. EMS is what brought me to be pre-med in the first place; if you didn't have the opportunity to work extensively as an EMT in college, I think you'll be glad you capitalized on your EMT-B card afterwards. In my system, I was given a lot of autonomy and responsibility, and ended up as the co-leader of our first-responder corps. It was a very rewarding experience, and I have the comfort of knowing if medical school doesn't work out for whatever reason, I can be very happy working in fire and EMS as a fallback.
I know I didn't go through the exact pathway you described, but I thought perhaps I could help. PM me if I can help with anything else that's related; I have plenty of paramedic buddies and may have some good answers for you. Best of luck!