As for powder something with an RL at the front of it. Having good luck with any of the RLs with any bullet in any of my calibers. However, it is quite temperature sensitive. Summer to winter is a loss of better than 100 fps in anything I shoot.
How about something like those 2-dollar lost river 165s at 3200 or so. That'll getcha serious real quick.
Same as shooting the 338 except recoil not $ is the limiting factor. I'm down to 1 shot groups with it.
BTW itsa Rem 700