How about a .338 Win Mag with a chamber cut so that factory loads headpace on the shoulder? The belt area in the chamber would be relieved so that factory cases would not touch there. This need be only about .007" and I don't see a problem there.
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<br>This is how I designed my .224 wildcat. It works fine.
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<br>I would not change the .338 case otherwise but that's what I would do. You might want a .338 Improved headspaced as I suggested and then you could still shoot factory loads in it.