My CCW revolver is my S&W 640-1 2 1/8" barrel revolver. Frankly, it is pretty small to grip and shoot well. I also have a 19-3 4" which is great to shoot.
IMO, you want a 3" - 4" S&W 13, 19, 65, 66 from the late 70's. this is a nice mid sized 357 mag revolver.
13 - blue, fixed sight
19 - blue, adj sight
65 - SS, fixed sight
66 - SS, adj sight
Or a slightly larger or heavier 586, 686 or 27.
BTW, Wikipedia is your friend for learning S&W model numbers.
If you want 38 only, there are like 20 more numbers to add to that list!
The great thing about most of the K frames is $500 should bring home any but the nicest gun and it would only be $50 or so more.