Of the two suggested, including moose, the 30-30. I have hunted with both the 44 and the 30-30, and although I like the 44 a lot for close range deer, etc...., I don't believe it has the carries energy or penetration for larger game.
All that being said, get a 45-70 Marlin and have at it!!!
All that being said, get a 45-70 Marlin and have at it!!!