I'd say if you're shooting off-hand a standard 30-30Win would be a good choice, of course that's with a Super 14. Some cartridges are just easy shooters like the 30-30Win or 357 Max. You'll need to check how the throat was cut on that barrel, if it has the steep, short throat, leave that one for somebody else.
If you shoot from a rest go for the improved. I have 2 improved barrels now, 1 rechamber, 1 Bullberry.
Larry Sand's article on the 30-30AI is at;
http://www.reloadingroom.com/page47.html The velocity you can get from 150-165gr bullets from a 14" barrel is impressive.