I'm going to say the obvious, and try not to get weird about it. Your performance with a snub is 100% a matter of skill. a snub is not inaccurate, people just generally can't shoot them well, and in almost every case, increasing the barrel length can increase a person's ability for accuracy. GENERALLY SPEAKING. If you are good enough and practice, practice, and develop a feel for it, you can get good results. Not as good as you would with other, more practical guns, but a person can get very good "combat" accuracy. if you can get six inch circles at 50 feet, is that good enough to stop an attacker? You can do that with your pistol.
Learn how to keep your pistol as an extension of your hand. Learn how to find the front sight and line it up, that isn't too hard, even with the groove sight. Most importantly, learn how to smoothly run that trigger to the end of the cycle, not snap it back, or try to stage it. Pulllllllllll... It takes some skill, but the smith is better for that. Building your forearm strength may be the best thing that you can do. the second most important thing you can do is to learn how to isolate that finger from your hand.
Make a fist. carefully rock that trigger finger back and forth, smoothly, slowly, without moving any other part of your arm. Practice that. work on that. Unless you can handle your trigger finger without weaving your arm around, you won't be able to fire a DA revolver without tossing your rounds everywhere.
Last, but not least, set your desires and goals realistically. Can you make center of chest hits over and over and over with your pistol at thirty feet, twenty or less? In a home, a restaurant, in a street, you will be firing at between thirty and fifty feet at the most, right? if you can hit that chest reliably, you have reached a reasonable goal. Keep trying to do better, but you can be satisfied with raising your skill level to defensive combat level.
Something that you can do that really helps is to find various members of your range and test them out. "hey, would you mind running a few rounds through this and let me know what you think?" I do that all of the time. I can pretty much determine whether the guy's skill level is good, and how well these six or so test subjects should perform. If NOBODY can shoot it well it proves that the thing just can't be shot well by seven out of seven testers. sometimes I hand over my gun and learn that neither the ammo nor the gun are off, that I'm just performing badly that day. Having visual problems and a constant tremor, it's hard to tell why my groups may have opened up.