Savage .22 autoloaders had the floating chamber invented by Carbine Williams. He licensed it to several manufacturers.

The Savages of the 1960s would feed shorts, longs, or long rifles from its tube magazine. Subsonic LR and CB caps probably will not work. The LR is too long, and the CB too weak.

I would try the subsonic short loads. I used them a lot in rifles for rats and pigeons in town. Out of a long barrel, like on a target rifle, they make very little noise.