Firefly’s Simon Tam is the obvious inspiration for the Stitch.
Red Beard, played fiercely by Toshiro Mifune. He’s not just a compassionate doctor, he’s a samurai.
Black Jack, the manga/anime super-surgeon, basically a vigilante medic.
Mushishi’s Ginko, a sort of spirit botanist, who makes use of (and heals people from) mysterious lifeforms beyond the ordinary. A much quieter type of character, but definitely a guy with brains and guts.
House. I mean come on, this is the guy with the Stupor vice. Not an action icon, but definitely someone with good scores in Doctor, Study, and Sway.
Iron Monkey is mostly a martial artist, but his backstory is “Zorro, except he’s also a doctor”. A good archetype of the caregiver who supports revolution and social justice.
Captain Blood, whose compassion earned him a stint as a slave, and whose courage led him to piracy! In terms of playbooks he’s probably more Scoundrel or Speaker, but he parlays his medical skill into social influence.
Create lifelike masks for disguises out of some super-tech synthetic skin. 51st Legion has our physical description? Change what we look like! Or let one of us duplicate another’s appearance. A prime candidate for a flashback.
Administer drugs - not truth serum! - to interrogate a captive, or strong sedatives or paralytics to non-lethally (and silently) disable someone.
Alternately, make use of drugs yourself, to enhance your abilities or perception, e.g. the focus drugs from “The Expanse”.
All of these make sense to me as tools a doctor would use in the cause of revolution - for example, masks or other biometric bypass tools would be great for helping rebels strike anonymously and disappear without being identified.
I’ve been working through a movie and TV queue to get similar inspirations for a Pilot, for what it’s worth. Some of what I’m watching just doesn’t work for me, but some of it does.