Well then the states can write the law.
It'll be a tough sell because when you attach a camera to one of these things then it becomes a platform for your First Amendment rights especially if your intent is to publish the resulting images. I imagine you could get law that narrowly define and restrict voyeuristic behavior similar to how so-called 'upskirt' videos are illegal.
But while you can limit the voyeurism you're going to face a wall of resistance trying to ban these devices or even to register them. You'd also face a wall of resistance from the FAA if you try to say that a private person can't fly a device over your property because they don't recognize any property claims to airspace. Nor should they.