At 308 velocities you really have a lot to choose from
150 grain ttsx
165 partition/accubond
I’ve hunted with a 308 solely for 20 years , mainly deer but some hogs.
My go-to load in 130 grain ttsx with ramshot TAC and I can get about 3150 out of a 22” 5r barrel
I have never recovered one and always had nickel or quarter sized exits
I’ve also killed with hornady sst 150, nosler accubond 150 and 165, hornady interbond 150, nosler ballistic tip 168
Never have noticed a dramatic difference in lethality just the ttsx always exits and most of the accubond exited.
For bear you want penetration which a ttsx would give you reliably and a partition would as well.
“The reliability of the 30-06 on most of the world’s non-dangerous game is so well established as to be beyond intelligent dispute.” Finn Aagaard
"Don't fuck with it" seems to prevent the vast majority of reported issues." BehindBlueI's
I can’t count how many deer I’ve shot with it …. 10 or 12 maybe? I double lunged a big bodied Saskatchewan whitetail buck with it, ran about 20 yards and fell over. Of course it exited. Velocity matters with ttsx bullets. I’d feel confident with it inside of 300. It has a Poor ballistic coefficient so I never really considered using that bullet for longer ranges.