Most people are quick to confuse how accurate a cartridge can be with how accurately they personally are able to shoot it with the relatively hindered equipment into which they force it. If you find yourself holding a 1-1.5moa at 100yrd capable Marlin 1894, why would it not be capable of killing deer at 200-250yrds? Can a guy do that standing, off-hand, with iron sights? Eh, he'd have to be a lot better than me. But how many guys do you know who can HONESTLY deliver vital sized groups standing off hand unsupported with a rifle? With or without a scope...?
The 44mag does fall subsonic after 200yrds, but when you're shooting short, fat bullets at low velocities, that transonic transition isn't as big of a penalty, and a 3moa group at 200-250 will kill deer...
And again - if you can't manage 1 1/8mil drop at 250yrds, can you really manage 0.6mil drop with the .35rem?