I have two carry guns. A 3" M&P 360. and a Walther PPS in 9mm. I carry the Smith J-frame 90% of the time so you know how I'd feel about the .380 PPK...:o
I would recommend a Model 60 LS (Lady Smith). All steel, 2", with a slightly lighter trigger pull. Run .38 Special with a 158 gr. bullet for a little softer recoil...