You might be able to shoot some 55 and some 60gr bullets. Sierra 55 Blitzkings would not stabilize in a 1-14 twist 22-250 I had. You may be able to shoot some of the Hollow points though, or Sierra's 55gr SBT, #1365.
I hear some are getting by with the 55's at the higher speeds. I shoot 55gr BT's in mine with IMR 4064, a load that a hunter on this board gave me, but I'm shooting about 3700+ fps and I have a 1-12 twist.