I don't feel like digging the pics up but here's the MVs of 3 slugs I chrono'd out of my 8.5" Grizzly.
Remington Managed Recoil 1 oz advertised 1200 fps, 8.5" hit 950 fps
Royal Brenneke 1 1/8 oz advertised 1410 fps, 8.5" hit 1080 fps
Federal 1 1/4 oz slug advertised 1560 fps, 8.5" hit over 1100 fps
I can't remember the exact numbers but there you have it. At 10 yds those slugs are moving just as fast as a longer barrel drives them out at 50-75 yds. Do your part and that's a dead bear. You don't need a longer barrel unless you want one. A short barrel works just as well and in some cases better (reduced chance of fragmentation) Carry an short shotgun in the bush when you're actually doing something and you'll have a whole new appreciation for them.
So basically you go down from a respectable 30-06 class energy (Federal 1 1/4 oz slug @1560 fps should be about 2955 ft lb) to 223 one with 8.5" (1 1/4 oz @1100 fps or 1469 ft lb)...I had not heard anyone recommending using a hot 223 for bears...