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If you are trying to shoot for accuracy in a double action mode you need to learn how to "stage" the gun. That is where you pull the trigger back to the point where the hammer is as far back as it will travel, and you will hear or feel the cylinder lock in place, then you squeeze off the shot. It would be more like shooting single action, which is what most people do to shoot for accuracy at targets.

Does your gun shoot in both double and single action? If so, you could try a few shots from single action mode to see if it is a snapping issue. Personally I don't like shooting any of my carry revolvers in single action mode simply because I don't want to get in that habit and do it under pressure. In fact the only revolver I carry any more is my Taurus 605 .357 snubby. It is doulbe action only with a factory bobbed hammer that is flush with the frame. No single action available, but it stages beautifuly and lets off with a nice crisp click.