The most PD and least harmful thing to do would have been a full spread of torpedoes on that tavern and the surrounding town, to end the Picard Myth before it really got legs.
A few hundred are sacrificed to save an enlightened world from backsliding into the Dark Ages.
Not a terrible trade off?
I can see it now… the villagers are having a worship service in honour of the Picard … then the Picard sends them a heavenly sign, whitish trails in the sky, which is received with cheers from the villagers...the last few seconds in slowmotion ...
Then the photons hit, we see the explosions incinerate and blast away anything and everyone.
The camera switches to orbit, and against the background of the planet, with a tiny plume emerging from its surface, we see the Enterprise go to warp.
<Drums play while the title Star Trek: Outbreak appears>