For a little more, Power / Vel., (over the .30-06 ) I'd look at, the .30-06 Ackley Improved and save, the Headaches and Cash !
The Ackley pushes, a 165/ 168 grain Bullet, OVER, 2,900 FPS with, Today's Powders!
Nosler HAS load Data for it and your shoulder will thank you, as the .30-338 is, pretty much, the same as, a .300 Win Mag (recoil wise ).
You might compare Ballistics to see IF, the extra cash to, convert vs just ream out to, the Ack., is worth, the Velocity & recoil GAIN to, you.
MY ,.. thoughts !