Unfortunately what one person does on their own property can have a huge impact on those around them. That's why we require proper septic and trash disposal, and other issues such as creating a nuisance to be regulated. It does not seem unreasonable that you could ask someone to not create such a disturbance when it could be avoided.
Man to man only works where you have two reaonable participants.
And two men.
Let me guess; The guy that owns the chickens is a man. The person doing all the complaining is a woman.
So apparently that makes a face to face discussion out of the question. Obviously the OP lacks communication skills and has to seek advice from strangers on the internets about how to deal with real people in real life over minor annoyances. How about "Hey man, I'm hate to complain but those chickens are driving me crazy squawking under my window every morning. Can we move the coop to the other side of your property? I'm free Saturday and will come over and help and I'll bring the beer."
If that don't work, then move to a nice, quiet HOA where "nuisances" like chickens are highly regulated. Harrasing a law abiding citizen's chickens with a noise violation...really???