While I can't argue with any of the other choices, I'd like to suggest either an M1 carbine, or a .357 magnum rifle, paired with a suitable handgun. Those rifles have just a little more recoil than a .22 but not much. The noise signature isn't too loud either which can be either good or bad. I value my hearing over a gunshot signal so I think its good.

As to their ability, I have taken deer with both and the performed better than I expected, especially the .30 carbine. I expected the .357 to be up to the task but the carbine suprised me with over 5' of penetration.

The advantage of the .357 is that it shares ammunition with commonly found revolvers, but can only be found in single shot, lever, or pump action. The latter two are tube fed and all are slower to load, and require movement to reload a second shot.

The M1 carbine being a magazine fed semi-auto is faster to load, and reload and doesn't require movement to chaber a second shot. The M1 is also smaller than most .357 carbines, and weighs in at about 5 pounds. Unfortunatly prices have skyrocketed on them in the last few years.

Just my two cents worth.
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It's a Jungle out there.