Reddit mentions of Performance Ignition Systems HP1306: Electric or Breaker-Point Ignition System Tuning for Maximum Performance, Power and Economy

My sister-in-law is an MD. She started out in oncology and switched to palliative care. Her bachelor's degree is in Anthropology. She had to take some extra courses in medical school, but she did just fine.

If you really want hands-on EE stuff, and if you're sure you want to be an MD, then I'd suggest that you research what undergrad-level coursework you need to be accepted into an MD program, and what you need to graduate. Then either get an EE degree with extra chemistry and biology mixed in, or get a BME with extra EE mixed in, and then get your MD.

Alternatively, consider the life story of my friend Chris, who got a BME a good long time ago. He worked at a pacemaker company for a while, got tired of the regulations. From there (because he was an avid drag racer) he went into making high performance ignition systems (pacemaker, electronic ignitions -- same thing, right?). He went from there to consulting, and now he's running a company that makes a high-tech (and, according to the company) absolutely coolest automatic lancing device.

So there are interesting things you can do with a BME degree, particularly if you're planning on using it as a springboard for an MD.