Your problem is typical of people who are new to shooting DA revolvers. Even if you have tens of thousands of rounds down range with a semi-auto.
The snub nosed revolver is about the hardest gun to shoot well you could buy. But when you get a hang of it, its very effective.
The crazy thing is that even the smallest revolver has exceptional mechanical accuracy. Bench rested, with a CT laser, my 340 J frame can group as well as my 686. However, practical accuracy when shooting quickly is not even close to the 686. Several things work against you:
1) short sight radius.
2) small grip that doesn't let you use your pinky (how do you spell pinky?) finger
3) relatively round grip that does not resist rolling.
4) stiff trigger pull combined with the round and short grip means the gun tends to rotate when you squeeze the trigger if your squeeze is not perfect. (smooth, gentle, and straight back)
In fact, developing a good trigger squeeze is the KEY requirement in learning to shoot a little revolver well.
The good news is that you can practice this as well at home as you can at the range. Dry firing is a great exercise to develop a good squeeze.
A laser of some kind is also useful because it magnified movement caused by your trigger squeeze.
Don