You already have a capable 1K + rifle, so screw the usual crap.
Difference between the .338WM and the .338 LM is about 300 fps with 250's...
The LM can push them to 3000 and better.
If you reload and have the coin, go wildcat. From what I've read, the .338 Edge will give you another 100 fps over the LM.
If you're just looking for an off-the-shelf pick, I'd go with the Lapua.