The only permanent solution is to have a zone around the airport with
no houses. Even then you will inevitably get complaints from far away.

There is a natural cycle. An airport is built on the outskirts of town.
The town grows around the aiport. The airport is moved to out of town.
The old airport gets developed. The problem is, now, that frequently no
NEW airport will arise. Just close the old airport and concentrate the
airplanes at other, nearby airports. Don't allow closure of the old
airport without having a replacement in hand.

There are TONS of airports in the midwest. LOTS of small towns and
every town has an airport. Very satisfying.

I am lucky to live north of Denver. We have 9 or 10 airports within a
20 minute flight. Small GA heaven!