I had a really interesting experience with black bears near Lander Peak in Wyoming last year during the deer hunt. It was warm so the deer were back into cover just after sunrise so I decided to pick a likely canyon and still hunt down through the pines. The ground was a bit damp and the wind was good so I was able to move quietly - maybe a bit too quietly. I heard a commotion ahead of me and saw a black bear go up a tree. It was a 100+ pound bear and I thought it would be cool to get a picture so I moved a little closer. As I got to within about 40 yards a smaller bear went up a different tree and it hit me that these were probably cubs and sure enough here came momma steaming mad. She charged me to within about 50 feet them stood there bouncing up and down on her front paws clicking her teeth and grunting. I started to back off and she climbed a tree to the first branch and sat there growling and grunting at me as I backed off.
I saw some sign of a big bear(s) in the area and confirmed with the game warden and some local hunters that a grizzly was living in the area. I felt fortunate that I didn't chase grizzly cubs up a tree because a grizzly momma may have kept coming. A .270 suddenly doesn't seem like enough gun.
I was amazed at how much more wild Wyoming is than Utah. One evening I stayed up on a hill until after dark. As the full moon crested the mountains the coyotes started going wild and I'm pretty certain some wolves were howling as well. During just three days of hunting I saw deer, elk, moose, bears, and antelope and heard the coyotes and wolves. I'm envious of you folks that live there - what an incredible place.