Try Jack O conners favorite load in the 06 and a 165gr bullet . Probably over in todays books but I have shot it thru 4 different 06s over the last 40 years, no preasure issues with any of them but work up to it , simple as this WW case , 52grs of 4064 and you should see something like 2925 fps avg unless something is quite difffent with your gun out of a 24" barrel. I shot dozens of Caribou,Sheep and Goats with this over the years as well as plenty of Whitetail Bucks all starting in the late 70's with the old Nosler Solid base and later with their Ballistic Tip 165gr bullets.
About 5 years ago a friend turned me onto the Hornady SST bullets so I tried them , have never had so many instantaneous kills with the 06, high shoulder on 250lb field dressed Northern Bucks is lights out right now, folds em right up and they are often laying in the 4 tracks they were standing in.................. good luck