That is a broad wish list for a one gun solution. There will be lots of trade-offs. You will have to figure out what factors are important to you. How much do you want to shoot? How sensitive are you to cost? How sensitive are you to recoil? Big, medium or small hands? (Whatever you pick, I would make sure it fits your hands or can be modified to fit) Big, medium or small body build? How easy will it be to pack a big and heavy vs small and light pistol?

I recently picked up a 6" gp100 and think the 6" barrel would be a bit long for every day convenience but should be nice for hunting. The 38 special for $0.25-$0.30 a shot makes range time more affordable and 200gn hard cast at ~1300fps will handle bear with other options in between for other species. I think 357 would do what you want, but it won't be a one load solution.

The more I think about it, I think this is an excuse to get a couple new guns