Simply, I have a 338-06AI. I started with the venerable Rem 700. Had a 24 in Gaillard barrel mated to that with I think a 1-10 twist. Have settled on using the Swift Scirocco on top of some RL-17. I'm into the gun for about $1200 before the optics.
Glad I did the project. It compliments my 270 and shoots great. On game performance is second to none.
Good luck.