I helped my S-I-L find a load for a friend's 06 RAR and the load that worked in it was Remington brass with 59 grains of H4831 and 180 grain Hornady Interlock bullets using a WLRP. We seated the bullets .010" off the lands. This load shot 3 shots in a line touching at 200 yds. with the inexperienced owner behind the rifle. It is the exact same load I have used in two other rifles in the caliber except I always used Winchester brass, and both of these rifles (1 Ruger m77,and the other a Rem. 700) were both extremely accurate. I had a load worked up with 165 grain bullets but it didn't have the stellar accuracy of the 180. I had a mild load in the 06 using 150 grain bullets that was nearly as accurate as the 180; same load but drop the charge to 58 grains of H4831. I have shot whitetail deer at distances to 500-600+ yds with this load.
These Americans will shoot if you feed them what they like! I have one in 270Win. and it is a tack driver.