First, I wouldn't describe a privately owned campground as a "public campground". To me a "public" campground is one run by a government entity like a city, state or federal campground.
That said, I haven't had too many problems in campgrounds of any kind. The few times I have had problems, I take a more passive/aggressive approach. I'm an early riser and if someone has made a lot of noise all night, I'm going to make as much noise as possible when I wake up. Banging pots outside of their tents at dawn certainly wouldn't do any good for a hangover. Otherwise I just endure.