Tom, you really need to define your ranges. Odds are you will not be shooting over 600yds. Around here, that is short range.
If so, the best combo of bullet will be in the 165 to 180gr class. The standard stuff. As long as you watch your impact velocities, the SST, MK, ballistic tips and similar bullets will work just fine. Impact vel must not exceed 3000fps so shots should be at least 150yds away.
If most of your shooting is inside 200yds, first off you don't need this cannon, however, you will have to consider a premium bullet like the Barnes or Failsafe so that bullet failure is eliminated. Downside are these bullets do not expand well at long range and low impact velocities.
You will need to do a bit of balancing there.
For the type of hunting you are suggesting, performance in the 300WM range would be more then adequate. You can download the RUM and use just about any bullet you want.
Personally, I limit my muzzle vel to 3000fps or so. That way I can take a shot at any range. I just use the heaviest, highest BC bullet that fits this performance, then limit max range based on impact vel, accuracy and energy.
Good luck with your hunt...
Jerry