SA vs. DA
Shooting a snubbie in Single Action mode is often enlightening.
You'll be surprised how accurate it can be when you do your part. If you use a hammerless snubbie because you think SA mode is worthless, that's fine. I'll stick with my "humpback" Bodyguard with the ability to use SA when desired, even though 99% of my shooting with snubs will be DA.
When firing a snubbie, you want your trigger pull to be smooth and consistent all the way through. If your gun has a heavy trigger at the start of movement - or it "stacks up" by getting heavier before letoff -- you might want to have a trigger job done. What you want is a combat trigger job done. This means not installing lighter springs but smoothing up the action to make it consistent while keeping it reliable.
Trying to "catch" or "index" the 5-shot J-frames like some folks do with the larger frame guns is more difficult due, in part, to the shorter action cycle for the smaller cylinder. When firing at "personal distances" of up to 12 yards or so, concentrate on putting the front sight on the target and squeezing smoothly, without jerking the hand or gun around. Also practice some one-hand "point shooting" (hip shooting) since some encounters will not allow you time to raise the gun to eye level.