Based upon the details given in the OP about the intended purpose...or in other words, since we know virtually nothing about the type of hunting involved...I think the obvious answer would be to get a "modern" leveraction like a BLR, Win 88 or 1895, Savage 99, etc. and then take advantage of the box magazine to use a modern bottleneck cartridge loaded with spitzer bullets; .308, .30-06, .270, etc. You will get all the versatility, range and other benefits of bolt actions, but you still get to crank a lever to work the rifle. Of the above, the BLR is my hands-down favourite.
But, if the question is implying that the lever will be a "traditional" levergun with an underbarrel tube magazine, then IMHO the discussion begins and ends with the .45-70, which can be loaded up as high or down as low as you wish.
And...saying that the .44mag can compare is wishful thinking. You can certainly load the .45-70 down to levels approximating typical .44mag power levels, or even below that...but you sure as hell can't load the .44 up to anywhere near what the .45-70 can offer.