Long time lurker, first time poster...
I have shot a few hundred rounds through my LCR .38. At first, I worked on slow fire. As mentioned in earlier posts, you can stage the trigger to the point where it just needs the final squeeze. So it's sort of like SA at that point, except that the pull at that point is quite heavy. I could post targets of very nice 7 yard groups from that method. But usually there is a flyer, and the more I practiced, the more fliers I was getting. I did some reading on DA revolver technique, and found my problem described. When you get the trigger staged like that, you're also working on your sight alignment at the same time, trying to time your wobble. It leads to a NOW! type of pull, sort of a flinch.
I'm not an expert, but I've owned and shot handguns decently for many years. This LCR was my first try at pure DA shooting. And so, I was trying to turn it into what I was familiar with. But after reading about DA technique, I realized trying to make it like SA was a dead end. And after all, this is not a target gun. As much as I wanted to see small groups, the purpose of practice with it should be to make reasonable groups while firing at defensive speed.
One key thought is to keep the trigger moving! You don't have the skills to yank it as fast as possible, but you do want a smooth quick pull, re-acquire the target, and do it again. It's great that the LCR can be dry fired. I worked on this skill by dry firing, then tried it at the range. I was missing a paper plate at 7 yards with all 5 shots, lol! So then I dry fired and watched closely what was happening with the sights. Which was that the trigger pull is long enough and stout enough that I was pulling the barrel upward just a bit. YMMV! So I worked on dry firing while keeping the barrel under control. After that, I soon was making perfectly reasonable groups at 7 yards, firing quickly. Like say 6" groups, being honest. By comparison, using that SA-type pull, I can routinely hit or at least nick a 2" dot at 7 yards. But what does that really prove? It is all about trigger control, meaning learning to squeeze it quickly without it moving the gun off target.
I usually shoot 148g WC target loads. Sometimes I bump it up to stouter stuff, but I subscribe to the crawl, walk, run theory of learning something. As mentioned by others, a snubby is a humbling gun for a person who likes to be accurate. It's only for beginners in terms of maybe 10 feet or closer, IMO. If a beginner wants to hit a baseball at 7 yards, good luck.
I also have an LCP. It is orders of magnitude easier to shoot quickly, on target, than the LCR. The recoil is much easier to handle, and the trigger pull is lighter and shorter, all of which makes it easier to keep the next shot on target. With much less practice overall, I make significantly smaller groups with the LCP vs LCR at 7 yards firing quickly. But, I still like the LCR. It's more fun to shoot than the LCP. I continue to improve, and that's rewarding. Maybe with enough practice I can get it to equal my LCP's groups. I would trust my life to it. But all things considered, I consider the LCP a better gun for CC/SD.