PeterF: my preferences for a 44 caliber rifle, or actually a 43 bore, head toward the 444 Marlin. That cartridge can be loaded down to the 44 magnum levels or up to way beyond that.
But, from a 20 inch barrel the 44 magnum will gain a bunch of velocity and will hit significantly harder than you might think. The 44 magnum in a rifle/carbine takes the cartridge out to beyond 100 yds, easily, with more than enough poop to shoot broadside through a whitetail. A lot of the folks who hunt with the 44 magnum from a rifle or carbine go with heavier slugs for a bit more 'ooomph' at longer distances. If you pack a 44 magnumm pistol, a rifle or carbine in that caliber would make a perfect combination for a lot of woods use. JMHO. Mikey.