Karelian Bear Dogs are a better way to manage bears. For example the National Park Service uses them and the Wind River Bear Institute has Karelian Bear Dogs on call.

And they are awesome dogs…bread so you can trust your life to one.

https://en.wikipedia.org/wiki/Karelian_Bear_Dog

https://www.nps.gov/media/photo/view.htm?id=97DA9C58-7976-4D...

https://beardogs.org/

Pros and cons. I believe in Romania, where brown bears are very prevalent, aggressive dog breeds are used to protect sheep... But they are so aggressive that they pose an overall greater risk to humans than the bears themselves: https://romania-mountains.com/shepherd-dogs-in-romania-what-...