I don't consider myself an expert by any means. But I bought into the lighter faster argument. I took a lioness a couple years ago with my .458B&M and the 260gr SOCOM bullet from Cutting Edge Bullets. 2900 fps at the muzzle. It was simply devastating. Cat save for a twitch or two of the tail never moved.
So if it were me, I'd use your Lott and load it with something fast and furious.
Unless I mis read it they do not have a Lott...