Because of newer "everything", including rifles, powder and bullets, I too switched to a 9.3 x 62 as my "medium"> It will do just about anything a .375 H&H or .338 WM can do, and could fit the shoes of a .340.
a 250 AB at 2700+
a 286 NP at 2600+, and
a 320 W at 2400 +
All in a 7.7 lb ready-to-hunt rifle with a 22.4" barrel.
One powder = RL-17
One case = Hornady
One primer = WLRM
Bob
www.bigbores.ca