The 1894 in 44 will get it done all day long.
Remember, there are ammo considerations. A lot of 44 mag ammo is intended for 6" revolver barrels. Out of a 18 or 20 barrel, speeds are much higher. The 180 grain hollow that works well in your revolver won't penetrate as deeply in the carbine. Stick to 240's, ideally 240 soft points....