It will depend on the type of hunt and to some degree, which part of the state.
Bait with stand in woods, I'd use the .450 with non expanding heavy bullets to ensure through and through. Ranges will be archery kind of close.
A stand, perhaps even baited, but on the edges of the Washington county blueberry barrens or Aroostook county potato fields could be at considerably longer range and I'd consider the .308 with tough bullets.
If its a dog hunt, it will mostly be treed so it doesn't matter much.
If you are stalking, well, forget it, you aren't likely to see one. Almost all stalking kills are by deer hunters having a rare random encounter with a bear. Normally, you see roaming bear in the woods only because you hear them going 25mph away from you before you even get a glimpse.