CIWS systems and fighter cannon are gatling guns precisely because the probability of any single round hitting a small, moving target is low.
If all you need to do is overload the optical circuits of a drone, a 1W laser is sufficient. Whether you kill the drone by incinerating it in midair or kill it by causing it to crash due to loss of orientation, the result is the same.
This really sounds like a job for Death Rays, err, the laser finally getting a serious workout as a kill mechanism.
A bullet is going to come down somewhere.
Shotguns are another possible approach, but I'm pretty sure the shot size required would be big enough to cause harm to more than people's eyes. And for this sort of thing civilian shotguns would have an effective range of maybe 50 yards max, so it would be a CIWS.
The US Navy is moving from the 20mm Vulcan Gatling gun based Phalanx to a missile based CIWS ... that might be the most discriminating system after a laser, but still very problematic, you would have issues with the operators being very hesitant to set them to firing because there would likely be civilian casualties, and if it just turned out to be a paparazzi or otherwise non-dangerous drone, they'd get crucified.... And neither an effective laser nor an effective kinetic/explosive CIWS would be cheap.
Anyway, neither of those two options seem safe for drones flying just above people's heads. Maybe microwave lasers would be better? Also low-powered visible-light lasers could be enough to blind sensors and force the drone to rely on dead reckoning while not risking eye damage.