The 500JRH has quite a bit more ass than the 500 Special.
500 Special wouldn't be the best choice for a dangerous game cartridge.
Although there is sometimes confusion between 500 Special and 500JRH, they are different in terms of actual performance.
The 500JRH was developed specifically as a self defense cartridge for use in a side arm while in the presence of dangerous game.
Jack Huntington has personally taken the cartridge into herds of ridiculous bovine hooligans numerous times, to include Cape Buffalo in South Africa, as well as many other handgun hunters, in Africa and elsewhere.

It's an already done, already common, completely proven handgun stomper that's designed to operate in the lightweight holster revolvers like the Ruger Blackhawk and Redhawk and the Freedom Arms single action revolvers.

Also as I've noted, that Pedersoli 45lc/.410 side by side howdah running with blown out 9.3x74r brass (to get the bullets right up to the rifling in the long brass) could be a monster with big loads of powder.
In my Contender I've run well past 60 grains of rifle powder with 350gr bullets in the 9.3x74 brass. It gets hectic as the powder charges increase.

The 500JRH gets the 440 grain bullet going at 1400fps from a 5-1/2" revolver.
That's the kind of performance you need to deal with real dangerous game - and even there you're talking about compromise.

Just some things for you to ponder