The op is not hunting bear but defending from a possible bear attack. I carry a Kimber Pepper Blaster. 2 shots that are not affected by wind or rain. Short range though at 3'-13'. Very compact and light. I usually also have a 357 loaded with hardball. I would rather have something bigger. It would be difficult to carry a shotgun in the areas I go, mostly because of people, but there is always a shotgun next to my bed in the RV. In Alaska I carried a 12 gauge or a rifle. The short barreled 454 Casull revolvers have proven themselves and are popular up there.
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"I would not be an old man if I had not been an armed young man." JTJ
"Political correctness is a doctrine, fostered by a delusional, illogical minority, and promoted by mainstream media, which holds forth the proposition that it is entirely possible to pick up a piece of feces by the clean end."