My father was in a nursing home with two roommates, and one of them had some sort of mental problem and talked loudly to no one in particular, and did so a lot. Through the mediation of a friendly nurse, we got him moved to a room where he only had one roommate, someone who was quiet.
Could you talk to the staff and explain that you have sensory issues related to your autism? Possibly they could move you to a quieter room.
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A finger in every pie.