I don't recomend hunting medium/large game with a 357m. Some do. Either or.
I'd go with the biggest, hardest thing I could find, get close, cave both shoulders and leave two holes. Otherwise the chase will be on. I've seen HP's that just blow up when they hit something hard or thick.
SWC also = less bloodshot meat. Eat right up to the hole.
Shot placement is key- with anything. Do it right and it minmizes your chase.