I did a fair amount of experimentation with such "cat-sneeze" loads and have used them to good effect around the house, in the middle of the night, without shaking the neighbors awake - or even those inside the house a mere 16 feet or so away, with no more than an insulated steel door between me and the sleeping beauties.
I worked mostly with the 222, using 50 gr. RFNs; the 30/30, using mostly the Lee 170 grain RFN and RCBS 98 grain SWC meant for the 32 pistols; the 357 Mag using several 158 through 200 gr. bullets. The 357 turned out to work the best for me, yielding the best combination of accuracy, "smack" and quietness. The LEE TL358158SWC was a hoot and busted three or four raccoons one night, in three quick, consecutive shots, who were tearing up bird feeders, breaking bird baths, making a mess on the porch and trying to get into the house. A big, old woodchuck fixing to make a home undr my back porch left by means of an almost pure lead 358429 HP, and various other raiding raccoons have been sent on their way using various other bullets from the 357, loping along at something like 450 to 500 fps.
These loads are surprisingly effective, after years of thinking the 22 LR was "enough," but it almost never was unless it was specifically a head-shot, which is not always possible. THEN, they flop and flail and blood goes everywhere. Gory and a pain in the butt to hook up a hose at 2 AM st near freezing to clean things up. Not the most delightful of visions, but necessity dictates that when there are not enough natural predators, these little buggers get bold and even mean. They become a danger to chickens and small pets - even humans.
To arrive at the "right" load, it's desirable to work DOWN, until you stick a bullet in the barrel, and then work back up, watching for 100% reliability in exiting the bore. Different guns will respond very differently to different powder charge levels too. I tight, .355" grooved Rossi 92 was took the lowest charge and was the quietest. The Ruger 77/357 required too much powder to be quiet enough and wasn't as accurate. H&R Handi-Rifles were reliably accurate and quiet as well, but the Rossi took the cake. Currently, a .358" grooved MGM 357 Contender Carbine barrel requires a very slightly higher charge than the Rossi, but is even more accurate. I typically "sight" these at ten yards, because that's about as far as the typical shot is - usually less.
Now that I have a full-wadcutter (148 grain) again, I'll have to experiment a bit with that. I had focused on mostly heavier bullets to assist with momentum, but I've not found it to make a notable difference in accuracy, noise or decisiveness in discretely dispatching night-time raiders. Straight wheel-weights, 50/50 wheel-weights and pure lead, or even 1:3 wheel-weights and pure lead all work fine, but the widest nse possible makes a difference in effectiveness. None of these have exited their target except for head shots, which sort of leave nothing to exit.
The 30/30 is no slouch in this function, but I just focused more on the 357 because I use it more and the case is much smaller.