The 350 Remington shines in the intermediate length m-98 Mauser action which is a little too short for the 30-06 length .35 Whelen. It's the perfect length for long throated .350 Rem Mag, whereby the longer, heavier bullets (i.e. 250 grains) are seated with the base of the bullet flush with the case neck. You can easily get 2650 fps with the 250 grian bullet set up this way, 200 fps over the factory loaded 250 grainer or handloaded in the short action length.
The 180 grain Barnes X bullet can be handloaded to more than 3000 fps in this cartridge and it's a very credible long range deer load. For elk, the 250 Nosler partition, Swift A-Frames, etc., at 2650 fps can't be beat. Do you realize that the factory loaded .338 Win mag int he 250 grain bullet is only 2660 fps?
I already have a good .338 Win Mag (Long throated for extended seating of 250 and 275 grain bullets) but I am considering an M-98 Mauser in .350 Remington Magnum with a 20-22" barrel.
The .358 is also a good round, but th .350 is better in that it can duplicate the .35 Whelen AI and I would select it for that reason.
Another option is the 9x57 Mauser, based on the 57 mm case, but it's kind of a head ache beause factory ammo is not available any more and the actual specifications of this cartridge are for .355 diameter bullets instead of the usual .358 diameter as with the .358, and .350 Remington. Also, you have to form brass, etc. With the .358 and/or .350 Rem Mag you have a factory round with ready made brass. Also, .350 Remington Magnum cases can be easily formed from just about any other belted magnum case including the 7mm Rem mag,. .338 & 300 win mag, 300 H&H, .375 H&H, .458 Mag, and u name it.