Carrying J-frame "snubbies" in .357 Magnum is largely a sort of fantasy, IMNSHO and IME.
I've shot lots of .357 Magnum loads in any number of J-frame guns.
Sure, you can shoot .357 Magnum loads in them, but it's neither fun , nor practical, nor fast.
Many years ago, having gotten older and having tired of long carrying relatively heavy semiautomatic higher capacity pistols, I decided to try carrying just a S&W 340PD as a sort of best balance between a "most easily carried" and "most powerful" sidearm.
In anticipation of this, and to hopefully choose a "best load", I shot ALL available premium factory .357 Magnum loads in the guns, in bullet weights from 110 to 158 gr.
As an aside, I'm not "recoil-sensitive".
I shot a minimum of 20 rounds and a maximum of 50 rounds of each load.
IME, NONE of the .357 Magnum loads were either particularly consistent nor precise in these little featherweight guns, though I had really hoped to find a "best choice" example in that loading.
As it turned out, the most accurate and most precise load, in my hands, was the Speer Gold Dot 135gr Short Barrel .38 Special +P 135gr round.
Well and good, but since I'm less than sanguine about carrying just a 5 shot J-frame revolver as a primary CCW gun nowadays, I simply don't feel confidant that it's my best CCW option (especially given the slow shot-to-shot recovery with shooting .357 Magnum loads in these little guns), and I opt instead for carrying either a Colt 1911 CCO or a Glock 26 for CCW.