Alright out to 200 yards? I'd give a .308 a bit more credit than that if he's capable of shooting it past those ranges!
Anything but for really big bear (since your in B.C.!!) .308 should be fine. Personally everyone in my family (3 norc m-305's and a springfield armory m1a) load 180gr. soft points for moose here in NFLD. There are lots of threads in the other sections expressing concerns of hurting the gas system in a 305 by using any bullet weights over 167 gr. You might want to read a few of these and weigh the pro's and con's before considering some of the heavier bullets.
As for a 150 gr. bullet, just choose a good quality bullet and don't worry. Shoot withen ranges that your comfortable with and have practiced and you shouldn't have any problems. If I was you and going after bigger bears I might consider moving up calibers, or at least bullet weights, just for piece of mind!
My moose last season was taken with a 180gr. winchester soft point at a 287meters, no problems.
osborne