[Personal rant] - I'd much rather get a parachute and jump the heck out. Probability of my survival would be much higher, then, I guess :D
https://en.wikipedia.org/wiki/Ballistic_Recovery_Systems#Pro...
Your Cessna 172 isn't doing Mach 1. It's certainly possible to open the door at any speed a light aircraft can achieve. The door/canopy my get ripped off, but that's kind of irrelevant.
* Of course everything is always at the discretion of the TSA agent, they can prevent you from getting on a plane because they don't like the shirt you are wearing.