There is a nice piece of information on the .338-06 using a 210 Nosler Partition bullet at the time in Nosler's newest reloading book #6 on page 468 by Steve Timm.
Also a good piece in an older manual back in the early 1970's that Nosler printed up too! The .338-06 can do anything that the .338 Win mag can do out to 250 yards or so and do it with authority. I'll be using this caliber in a lightweight model 70 come next fall.
Tonk -
With a 225g AccuBond, (BC .550), I wouldn't have any heartburn stretching that out to 450 or even 500, at which range is has about the same velocity and considerably more energy than my .30-30 has with 170's at 100 yards.
Good luck this fall.