I have always had luck with 150 gr RN in my 270 Winchester....
Im leaning toward RN in the 06 .. for sure most likely 220 gr Remington ....
I remember meeting a fellow 30 + years ago that had taken several large Brown Bear with a 30-06 and 220 grain Corlokt..
Im never planning to hunt Brown Bear but , large Black Bear maybe in the future... ( 400 lbs + )