Just when I thought my 356 Winchester was impressive. Your 358 STA is very impressive. It should be about as good of Elk, Moose and Bear Medicine as can be had in a handgun. Looks like it is a shooter also.
On deer of any size, I would think the old Speer 180 and 220 would both work exceptionally well. I used both in my old 35 Whelen rifle years ago. They put deer down as if hit by lightning.
Keep us posted on your hunts with it.

Bob R