I did things a little different from your plan for a .338-06. I had a No. 1A in .270 that I had rebored by Dick Nichol (now deceased) to .338-06. The rifle weighs right at 8 lbs with a 3X Weaver in the Ruger rings. The 22 inch bbl is plenty long for the round. With decent loads it will shoot aroung 1" 3-shot groups. It seems to like 4320 and RX-15 with 200 and 225 bullets. The 250's I have tried don't group as well. Fine rifle; fine cartridge, as one 6-point bull would attest.
dclark