I have a couple very nice 338 Win Mags and a Kimber Montana 325 WSM. My 338's are even heavier than the one that you've mentioned, these days they get left at home and I hunt the Montana instead.
The 325 is a little less gun than a 250gr 338 but there's nothing in the America's I wouldn't hunt with a 200gr TSX at 2950fps......................................DJ
I love the .338, but you are right about the factory riles chambered for it. Way too heavy.
Expat