I have been thinking about it more, and here's what I've come up with:

I am pretty sure it's a horror because I remember thinking when the guy says he's going to kill the bear that it's not actually a bear and it's the "creature".

I almost thought it was The Thing the other night, but I don't think so anymore.

Also the scene is in the first 15 minutes of the movie.

And I believe they say the bear had killed some animals or something. (anothing thing that made me think it was a creature and not a bear, typical horror movie start)

Like I said I know it's a long shot, but I was hoping someone might remember the same thing and be able to ID the movie.