Spend the money on a proper ANR headset and the bother goes away. Not a flimsy lightweight one with ANR only like the TELEX 850. This only gives you ANR (active relief). Something heavier like a Bose or a Seinnheiser HMEC series headset gives you a physical barrier (Called Passive protection) which I think makes the most difference, I fly the 737NG and it is very very noisy, not just wind noise. It is criminal that Boeing could certify this aircraft with the unbelievable racket off the Air Conditioning system. Using the above headset even with the batteries off gives a good level of comfort and the difference in fatigue is marked at the end of a long day.