I've never hunted deer with a 357, but I've put down several moose using my 4" Model 28 Service Revolver.
I used the Lyman 358477 cast 150 gr SWC bullet. It worked quite well with neck shots. Never had to shoot one twice.
My department issued Winchester 125 hps, I tried carrying them, but only killed one moose with it. I wasn't impressed, it didn't have the penetration I wanted.
I always tried for a shot where the neck (spine) connects with the brain. Moose esp, bulls have a pretty tough neck. Have to in order to pack that rack around, and the neck strength to fight other bulls for the affections of the fair ladies.
I never got excited about making super hard cast bullets, always used range lead mixed with what ever wheel weights I had on hand, nothing fancy.
I still have that mold today and still use it in my 38/357s. Including my Marlin Cowboy. Feeds well and is accurate.
This is the same bullet shot out of my S&W 642 into wet phone books compared to a 125 gr +P Winchester Bullet. Sorry for the fuzzy picture.
This guy was upset when his girl friend was hit by a van and decided to go after my patrol car. If that bullet would get through that tough neck, I'm certain it wouldn't have any problem with deer.