I was out with a friend of mine a few years ago and he nailed a nice grey bearded sow with a 270. She died about 50 yards from the shot. This was my only bear experience and not sure if this is an issue with the caliber or not but she did not bleed. We found her the next day without a single drop being found. The fat on her sealed her up as soon as the bullet pass through.
I am shopping for my girlfriends first rifle right now and am going with the 7MM-08. Low recoil, flat shooting, and lots of energy. would be a good choice for everything Washington has to offer.
As for me, I wear my Ruger Scout Rifle in a 308. Usually with a Vortex 1-4x. Great rifle/scope combo for anything under 200 yards.