Well, if a marauding bear were to be on the offensive, a pistol may not be effective unless it's a very high caliber like 500 S&W, .44 Magnum or at the very smallest, .357 Magnum. Ideally, a 12 gauge slug or 00 Buck would be best for dispatching such a large animal. Mountain lions could probably be taken out with a personal defense round, but you may still want to go with the largest caliber you could carry and control. Rather than standard personal defense hollow points, a bonded hollow point such as the FBI's go to .45 made by Winchester under the ranger-T series could be a good choice. They could hold up against thick animal hide on impact then expand to a lesser degree. A Taurus Judge with .45 LC or .410 may even be a good idea. Also, for snakes, a small revolver with snake shot might not be a bad idea.
If rifles are your weapon of choice, you own a decent 308 and are concerned about large predatory animals, frangible or soft tip rounds my be a good idea as well. If you don't like the logistics of carrying a full length rifle, there are also AR type rifles in a pistol configuration. This one for instance could be useful if paired with a decent .308/7.62 Soft tip or frangible Like these.
From what I can tell, there are no bonded hollow point rounds made in the calibers you are looking for.