Stainless Ruger M77mkII.
275 gr Kodiak Bonded Core @ 2660 pushed by IMR 4831 and a 215 primer.
That load pushes the 338 into the 375 performance catagory on brown bear
It's not bad at all on the shoulder but you want 4" of eye relief on your scope. A 1.5-.75 to 6x lighted reticule scope is ideal.