Sensitive hearing problem

My ASD daughter gets very disturbed when people are talking downstairs, and she is in her bedroom upstairs. She finds the (random) noise intolerable, even if we try to talk quietly. It becomes a question of upsetting her, versus being silent all the time!

Has anyone any suggestions on what we could do? Noise cancelling headphones have been tried, but I think we got the wrong model.

Thanks for any replies.