Yes good idea. My summer and winter home airfields both have noise abatement procedures,
here is an example. ATC proactively enforce these. On Sunday mornings, circuit training is not permitted during the local church service times and there is a form on line if a neighbour wishes to raise a noise issue along with a consultative committee drawn from the Aerodrome's management, its users, adjacent County, District and Parish Councils, the Residents' Association plus a number of other local groups and societies.
If ATC think you are likely to pass over an noise sensitive area based on your current track they certainly mention it over the r/t and ask you to avoid.
During my own flying, I tend to try to fly as high as possible. Apart from the obvious safety factors, flying high reduces the noise audible at ground level. I live right under the GA corridor between Heathrow and Gatwick. Most GA departing Biggin or Redhill to the West goes over my house and on to Guildford or Farnborough(Helis, Microlights, SEP, MEP and many vintage types). I spotted our group aircraft flying overhead a couple of weeks ago at 2400ft AMSL (2190 ft AGL) and about five minutes afterwards a R22 Heli flew over and it was alot lower. The volume of noise from the R22 was higher although I didn't find it as annoying as the enormous amount of motorcycles we have racing along the local A class road. Somehow the high pitch of a racing motorcycle at 100% power level and accelerating is more earpiecing than the steady sound of a Lycoming in the cruise.
The "worst offenders" if that is the correct term or rather the lowest flyers this year have been the Red Arrows on their way back from Biggin Hill airshow. But I am inspired by those pilots and enjoy seeing them fly over once a year.