They do have AAs that have low recoil, (I don't know about the low noise part) but usually they are set up by velocity: such as a heavy target load would go about 1250 feet per second. Then they have a light target load. The lighter load might be 2 3/4 DR EQ where the heavier target loads are 3 DR EQ. I think they even make an Ultra Lite Target load which would be a lighter load yet. So the lighter load would have less recoil.....Am I answering your question so far? The lighter load would have less recoil but you would be giving up FPS. But like I said, I have never heard of a low noise shell.
