If you are really in bear country, a 44 Mag with hard cast, or Deep penatration bullets are "IT".
You don't want expansion. A soft point lodged in his muscle will not do you any good.
You want to break bones, and shatter skulls. It should double action, cuz at 40 feet, and 30 feet, and 20 feet, and 10 feet and at 2 feet, you won't have time to [beeep](-the word for drawing back the hammer before firing) a single action.
You won't have time because a running bear will cover that 40 feet in TWO SECONDS. Even if you see him at 100 feet. You will have FIVE OR SIX SECONDS, before you are smelling his bear breath.
A bear can outrun the average horse, and run down a deer, and he will not stand still for you to aim.
With a 44 Mag, if it's a M29 or equivalent double action, you are not target shooting, and so the fact that you can't hold 6 shots in the black at 25 yards is of no consequence. What you need for accuracy is minute of bear brain at 20 feet, with two hands... and you need it dammn fast.
For all the other critters you mentioned, a good .357 with jacketed 158's will do fine... (except for maybe a "Tweeker"... what's a "Tweeker"?)
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