The 44 and 30/30 are great deer killers out to 150 yards. You can squeeze a little more from either with good loads and good shooting. Of course, they will both kill a moose, but if I had to choose I'd take the 30/30 with 170 grain bullets. I would not shoot past 100, and I'd probably take well-aimed shots until Mr. Moose was down or out of sight.
The '06 is better suited for moose of course, but you knew that.