I'd rather just ban assholery than create a steep asshole tax. It doesn't bother me that a few rich people will have to wait in traffic like everyone else (or better - stop traveling for cross-town meetings and take a phone call!).
Leave low altitude flight to emergency services.
There is a pretty well developed theory of econ & law of when it makes sense to have financial penalties and when it makes sense to have criminal penalties. I don't think I could do justice to it in this comment box, but suffice it to say, "only criminal penalties, no financial ones" is wrong.
Just ban the bloody things outright.
Obviously, it's impossible to give that money to the people who heard the helicopter, but if you amortize all the flights in the area (say, all of LA) over all the people who live there, and reduce their taxes by that amount, then financially it works out the same. That still leaves some problems (complexity in setting a new tax on helicopter flights, differing value on not-having-helicopter-flights, difficulty of estimation, and so on), and many people want to discourage the mentality of "you can throw money at a problem to get rid of it", but conceptually it seems plausible for taxing the flight to be better than banning it entirely.
This solution pays me for my inconvenience. It doesn't prevent the inconvenience in the first place or from happening again.