First of all, good luck! That sounds like a very good time to be had, congrats on getting the draw / tag.
I shoot the Bergers in my 300 RUM, and I have never shot a bear with them... that being said, I don't mind shooting big deer with them, or maybe a hog, since I have very, very good shot placement, but the bullet isn't as heavy jacketed and constructed as say a Trophy Bonded, Swift, or Accubond bullet. You could be in for a wee bit of excitement, and tracking wounded brown bears is not for me...
You should go to Bergers website, they can give you some direction via email, I have seen other posts where forum members have done that and one of the Berger team has contacted them back with answers. I get the impression that Berger is very interested in their customers, so I am sure you would get an answer, straight from the horses mouth to say.
EZ My .02