I share neither of those intuitions. Why not stick with the obvious option of morality as the set of evolved (and evolving) norms? This *is* it, looking for the "ideal" morality would be passing the recursive buck.

This does not compel me to abandon the notion of moral progress though; one of our deepest moral intuitions is that our morality should be (internally) consistent, and moral progress, in my view, consists of better reasoning to make our morality more and more consistent.