In a modern pistol for hunting deer, the .44 is a terrific choice, but in a rifle platform I think the .45 gets the nod. There are a wide variety of bullets made for it, components easy to acquire, a greater variety of casting moulds, and greater case capacity which, as you noted, allows it to potentially outperform the .44 mag. Most importantly, the .44 is really just a .43, but the .45 is a .45, and hey, that is cool.
The 92 takes a great deal of pressure, look up high powered .45 colt loads in rifles and compare those to the .44 mag and that may help you decide. You should not get to or exceed the .44 magnum pressures though, cases for the .44 are built for higher pressures so you don't want to get too insane with standard .45 cases, but it is obvious you can push them very, very hard.
Considering that your pistols are .45s, I think that makes it easy to choose. Be careful to segregate your CAS ammo from your heavy deer hunting ammo though.