IMHO, your gonna want a SP or is cast a shallow HP. I have first ha d seen and been the sorry bastid who had to chase and track critters shot with the 357 mag and HP of any weight san maybe the 180 XTP.
A 158/160 sp or my fav jacketed the Hornady 158 XTP FP Bullet. Push that to near 1900 with no worries.
With the HP you can get lightning kills and horrendous shallow wounds. ESP in a rifle where velocity is up. Lungs with only ribs hit you will likely be fine. But hit that shoulder or spine you may be introuble. Been there dont that!
Good luck
CW