I use a .380 ball cast in a Lyman mold, over 4.0 Red Dot, Winchester large pistol primer. The balls are tumble lubed with Lee Liquid Alox and seated with thumb pressure flush with case mouth. Noise, recoil, and cost are all low, and accuracy is ok at 25 yards. Good cottontail load, and would work ok for tree squirrels, if we had trees, and if the trees had squirrels, here in Nevada. I have used half a sheet of toilet paper loosely set over the powder, but did not notice any kind of improvement. The reason for the wad was to keep the powder against the primer when the rifle was pointed slightly downhill for cottontails.
I think Lee still makes a .380 mold, and the Lyman's turn up from time to time on Auction Arms and Ebay.