Lots of good advice above.
I agree that any good lever rifle in any good caliber is fine. If it will break big deer down it's going to be OK for black bear.
The question is; Do you hand load ammo?
A 357 with a 180 or 187 grain LBT gas checked bullet is something you have to use to appreciate, but left to most standard revolver ammo, I would choose a 30-30 over a 357 carbine. Now when hand loaded with the big LBT bullets the 357 actually surpasses the 30-30 out to about 50 yards.
Both will do what you need and the 357 holds a lot more ammo.
30-30, 35 Remington, 44 mag, 444 marlin 45-70, are all good.
In a Browning lever gun you can get a 260, 7-08 308 338 federal and 358.
Again all are good.
I bold guns you can have about anything you'd like. I do like everything about the Ruger scout, but I think they could have done a better job with their 10 round mag (which is all the size of a 20 shot FAL mag, but with only 1/2 the rounds and the price is almost insulting it's so high)
You also could consider the browning BAR auto loader. They have some light weights ones out that are really nice.
The autos are set up for right hand shooting, but every left handed shooter I know says they are fine for left hand shooting too.
Remington makes the M-7600 in a carbine version in 308 30-06 and at lest some in 35 Whelen.
And lastly you can look at an AR-15 in 458 SOCOM or 50 Beowulf. Those are heave hammers at close range, very short and handy, have very light recoil for the power they give and fun to shoot.
Lots here to think about