I had that itch a while back and built a 338wm off New Haven SS Model 70 Classic. No regrets, shoots very well and kills well. Perhaps because of the round count I have on it or the good quality glass and components I have complete confidence with this rifle as to where the bullet is going to go - every time.

The ballistics and bullet selection of the 338wm, in my opinion, hit that sweet spot between great range, moderate recoil, and a broad selection of bullet choices readily available.

FWIW in my view there is little real world difference in ability to kill stuff from calibers ranging from .308 up to .375. To be honest I cannot swear it kills better than my 3006 but it is the rifle I always reach for out of the safe.