57.8gn of H4831 SC with Remington Brass and Magnum primers gets me about 2920 from my Tikka M65 in 270 and groups are nice and tight. Try Magnum primers, but please start down the line a bit and work your way up as while this load may be fine in my rifle it may do horrible things in yours.
Take accuracy over velocity if it come to that, unless yo are lucky enough to be able to have them both.
rob