I wouldn't unless you reload with light loads of specific powders, black hills sells 44 Russian cowboy loads, some sponsors carry it or can get it in for you, don't take the chance of ruining a nice old piece and maybe blowing your hand or face off!
Oh yes I believe western metal is putting in an order for fiocci and they have .44 Russian however I think it is hotter than the black hills, if dingus is around, he can say which is better, I have only used black hills so far and am setting up too reload. Jethunter is another guy who may be able to guide you!