The guns recoil level is due to it's lightweight, and, to be able to carry it CCW, the grips have to be very small, and slick. I have large hands, and the combination makes head shots a dream, at least at 10 yards for me, and, yes, I'm getting old.
Still, I have no problem with such shooting with either a Kahr PM 9, or Detonics Combatmaster, using 45 super.
Due to this, I have to conclude its the gritty, still stiff, 10 pound trigger pull, combined with the gun. Also, since it is no fun to shoot, I haven't spent as much time shooting it, vs. the others. The Detonics I have 100's of thousands of rounds through, and 1911's, and, that feeling that you are picking up an old friend you know very well is not present in the snubby.
I had the same problem with a Model 63, in DA, though it was better, still not accurate, and, I sold it.
It's really a result of physics. A 12 oz gun just is too easy to accelerate to insane recoil speeds with .357 magnum loads. "The beast" recoils over 20 fps FASTER then my .475 and .500 Linebaughs, and, that represents an increase in recoil speed of over 70%. Combine that, with a tiny grip, and, I think you can end up with serious, real damage to your arms, and hands.
All that said, it puts out 125's at 1204 fps, or, 148's at 1131 fps. While you can get 9mm subcompacts to match the first 125 result, they don't come close on the heavier bullets. I also use 158 grain lead HP's gas checked, for 1040 fps. These are Buffalobore Plus P's.
I find the standard service calibers suffering from Political correctness and, with that result, are all marginal for their intended purpose. For that reason, turning the lights out, i.e. head shots, are a major factor in CCW guns.
Given a choice, I'd much rather have a heavier gun, with a better trigger, that is more accurate.
Still, given the above loads, it is the most powerful 15 oz. loaded gun I know of, and, that power might work on COM shots, to an advantage.
It is also the 2nd lightest gun I own, and, it gets the call for taking out the trash, etc.
I have only one handgun that gives me the same concern, and, it shoots 525 grain bullets at 1350 fps, out of a 3.6 pound gun.
While it still doesn't recoil near as fast as the 360, it recoils with near double the ft-lbs, and that does nasty things to your arms and hands as well.