Just a data point here. I don't have a solution for you, but I saw the "reasonably quiet" comments and thought I would ring in. I was shooting hummingbirds on my patio last weekend ('cause they're so tasty

) and the shutter noise on my Nikon D-610 was making them nervous, so I switched to silent shutter. The results were disastrous.
The only difference in the camera between these two shots is that the first one was taken with the mirror down and the second with it locked up. I have no idea why this occurs.