Matt - Take the point cover off and the plug wire so it doesn't start up (you wished) and see that there is a good spark when the points break. Crank it over and watch the points, sounds like they are not opening ... slipped or push rod / cam wore.
Other thing to check is the wiring for wear cuts / bare spots that may be shorting to ground.
Other thing to check is the wiring for wear cuts / bare spots that may be shorting to ground.