If you are wanting a building close to the Hospitality House with a quieter atmosphere I would suggest buildings 16, 29, or 62. These are all in fairly close proximity to the main building, but are far enough removed to cut down on noise.
If being close to the Hospitality House is not a huge concern I would suggest buildings 32, 33, or 34. These are all close to transportation, but not super close to a pool that usually draws a crowd and extra noise. Buildings 19-22, 38, 39, 41, 42, and 49-51 would be my last choices as they typically experience road traffic noises.
In all my visits I have always found Disney's Old Key West Resort to be quiet and relaxing. I hope you have a wonderful vacation!"
Dad's Bottom Line
Rita, Old Key West may be the quietest resort at Walt Disney World. The only loud noise you’ll hear is the sound of golf clubs hitting golf balls.