There is no reasonable way to eliminate all noise and I can guarantee that there are sources of noise that are louder and more pervasive/frequent than aircraft that you could focus this ire on. If someone is really so sensitive as to suffer immense harm from the noise of aircraft in their area, they should not live in that area.

Before you start on some tangent about how small, rural communities have aircraft noise as well as large cities, I would like to inform you that those small airports can be a vital lifeline for the most vulnerable in our communities. I have helped care for a patient that had to be flown to our hospital in a small airplane from a rural community about 500 miles away because an air ambulance helicopter couldn’t make the distance and a ground ambulance would have been too slow. Putting too many restrictions on small airfields, especially in remote communities could very easily cause actual fatalities, not just disruption or distress.