Ah, the land of big bad game and big bore rifles. I've come within a whisker of buying a .375 several times--such a versatile round. If I lived where you live, Russ, I'd probably have three!
For the hunting I do and could potentially do, a .458 Win Mag and .338 Win Mag cover the upper end. For a scout gun/stopper, I also keep a fun, compact stainless Marlin in 45-70 sighted in with Buffalo Bore 405 gr. semi-jacketed flat-nose rounds @ 2000 fps, yielding about 3500 ft. lbs at the muzzle. It was built by Marlin based on what I understand had become a very popular bush-pilot set-up in your neck of the woods, Russ. I keep it around for bear encounters, as well as an old 12 ga. Mossberg pump w/slugs. Here's the Marlin:
The M70 .338 w/3x9 Zeiss Diavari T*:
The .458 is the top rifle in this pic: