Nevertheless, we will soon test what happened when we shout our flying HyLighters.
But a blimp, high up and clearly doing something? Nah, it'd be fine.
I am not a lawyer, but is is a very open question if you're flying low enough someone can visually sight you and shoot you down over their property, whether or not that this is a violation of the law /for unmanned vehicles/. Drones in particular have become a serious nuisance and many property owners have taken actions against them in the US triggering court cases, most of which haven't yet reached their conclusion.
EDIT to add that the rules here even vary by state in the US, in some states you own 83 feet over your property of airspace, in others it could be as much as 400 feet (above 400 feet is controlled airspace under the jurisdiction of the FAA). Generally speaking, shooting any aircraft, jamming any radio signal, or shining laser pointers on any aircraft is already federally illegal in the US and violates FAA/FCC regulations, but it's not clear that these regulations are actually constitutional and enforceable, or that it cannot be an act of self-defense to shoot down a low-flying aircraft intruding on your property.
I think you're conflating issues. At least where I grew up, people didn't shoot road signs out of anger at the government. They did it out of boredom. Sometimes as a competition with friends, sometimes alone. I never partook myself.
Unfortunately it is also exceedingly likely that the folks who shoot at road signs as their particular outrage against government are most likely to think that surveillance drones are there to spy on them, and not inspect infrastructure. I don't think regulations or laws matter to those folks.