I came home from University unannounced a couple years ago because I got a chance to head up to a friends place to go deer hunting. His zone opened a week in advance of where I usually hunt.
However, when I got home I found that my dad had "helpfully" taken my rifle (and backup rifle) as well as my boots, orange, and almost all of my gear up north with him to get ready for our hunt the next week...
The only rifle I had shells lieing around for was my 6.5mm model 91/38 Carcano. I took it out for the two days and even had a quick snapshot at a deer that my friend had wounded. Hit it at about 70yds running, it dropped about 20yds from where I hit it...
A really light and short rifle if you're hunting in the thick bush, and almost no recoil so the second shot is usually right on target...
You just need to become comfortable and familiar with the ####-on-open bolt, of the carcano, if you dont hold onto the rifle with your nbon-bolt hand when you're working the action, the tendency is to pull the rifle off of your shoulder while rotating the bolt.... it's not quite as smooth as your K98k in other words.
If you've ever seen the Oliver Stone movie "JFK," you'll notice that the actor playing Oswald does just this in the scene where he's rapidly cycling the Carcano. It's hard to notice him do it, unless you've felt the rifle yourself, but if you watch here at 7:10, you can see him sort of fumble the second cycle of the action:
http://www.youtube.com/watch?v=UPkCsLHK_FA