Craig, it's simple logic. I understand everyone's point about what size and style of gun to choose. If you look solely at the two final rounds and choices, the 500 JRH or 500 S&W. The 500 S&W is the Magnum version, the JRH is more similar to the Special.....
Actually, there is a .500 Special (see photo below -- Special left, JRH right) that was intended to be just that, a mellow, soft-hitting alternative to the .500 S&W. The JRH from the outset was meant to be a maximum effort hunting cartridge for a "normal-sized" revolver. At the 50,000 or so PSI I load it to, there is nothing soft or "Special-esque" about it. That's not how I would characterize it, but maybe that's not what you meant.