I can only speak of my experience. I went with a 375/338 Lapua improved. I choose a twist rate that will stabilize anything up to a 350grain brass solid. The twist rate is 1:11 starting rate and 1:9.75 ending twist rate.
I wanted a fun hunting gun for flat land that will mag feed Barnes TTSX and single feed the elr fun stuff. This does it just fine.
My decision over the 338 hinged on a little longer barrel life and more terminal energy.
Post the projectile length, grain might, and muzzle velocity, and I'll post the twist rate needed at sea level. The less pressure (higher altitude) the slower the twist rate you can get away with.
In the reloading section I'm posting my load development results for the 375/338 lmi.