The .350 Remington Magnum is a much more versatile round than we give it credit for. Like Quickdraw stated it can be loaded with a variety of bullet weights, increasing trajectory. I use mine often, and had a BLR .450 too. I sold the BLR and kept the .350. With so many companies doing custom ammo at reasonable prices you really do not have a problem finding ammo for it. Look at Wisconsin Cartridge, Custom Cartridge, etc. I just used it over the weekend for wild boar with the 180 Barnes (Lead Free- Condor Range California) with great success. It is a favorite for big woods whitetail, bear and moose. Recoil is relative but I believe the .350 recoils less than the .450.
Years ago a good friend had a M700 Classic in .350RM, and made his own brass from almost any kind of long belted mangle-um cawt-tridge, with an RCBS .350RM trim die, a hack saw and a file! Got instant 'Whelen performance.' Was a very nice rifle.
Keep the .350 for its versatlity.