I've said it before and I'll say it again, my first defense against running into dangerous animals is simply staying away from where they roam and enjoying one of the countless other fine vacation destinations in which I needn't worry about being charged, gored, mauled, or eaten by various wildlife.
However, if I were going to go hiking in the Wilderness where large dangerous animals roam, then I would most likely pack my Mossberg 590 Shockwave loaded with Brenneke Black Magic Magnum Slugs.
Folks often argue that it's too heavy, too difficult to control, or otherwise too slow to deploy, but I beg to differ. It's actually quite light at 6lbs, only just a bit heavier than some of the long-barreled monster magnum revolvers, yet easier to control because it has two points of contact instead of just one, and with a proper sling I think it could be readied quite quickly.
Otherwise, I'd carry the next best thing that I've got, my H&K USP45 Elite loaded with Buffalo Buffalo 230gr .45 Super.
Power roughly on par with 10mm Auto, but with a heavier, larger diameter bullet.