I have built 2 .338/7WSM's both are pushing the 250 Berger's at 2920-2950 with rl16, on tikka actions.
Holy hanna, you've got to be running a really long barrel!
I've had a 338/300 WSM for about 20 years. I could PUSH it to 2700 when the barrel was @ 23" with 250's.....but I was really honking on it