OK, then I'd still say of the three I'd pick the .338 and the .35 cal as my best choice, something like the .358 Norma Magnum or the wildcat .35-340 Wby mag.
Perhaps I missed something'..., didn't you say... "The case is more like the .338 Win Mag."? and now you're saying it's .473" which is in the same .308 and .30-06 rim as I mentioned prior, in any case'..., I'll stick with .338 and .358 cal. Cheers.