You have the right idea. I would hope you would shoot down a drone flying low over your property.
The problem is the FAA is claiming I can't fly a drone over your property at your request in order to provide some service (crop inspection, land survey, etc.) because they are claiming (incorrectly IMO) that they own all the airspace over your land.
I would rather private property air-rights were increased to 1200 feet (right now they are arguably somewhere between 83 and 500 feet, except for those idiots in Oregon that ceded air-rights to the state from ankle-height). I don't think the FAA has the rights to restrict what you do with your airspace: and that's what they are trying to do.
In the end: I wouldn't worry about the drones you can see and shoot down with your shotgun (and you should): it's the ones you can't see you should be concerned about.