For what you want, the 44 in the Marlin would probably suffice as would the 30-30. But if you wanted to get serious about the bigger critters up to the size of elk then a Marlin 336 in 35 Rem would be nice. Bigger, the Marlin 1895 Guide Gun in .45-70. (Mine has taken several black bear cleanly).
Now if you wanted to get really fancy, there is nothing wrong with the Browning BLR. This rifle comes in a variety of calibers to fit just about every need. Plus you it has a detachable magazine (clip) so you can buy extra if needed.
Good luck