Back to substance dualism, or Berkelian idealism.
Or anyway the Augustinian/Platonic conception of the soul.
The immateriality of the self, the Ego, seems to me unnatural to deny.
No version of epiphenomenalism or event or property dualism seems credible to me.
Nor any Aristotelian/Thomist - or neo-Thomist - conception of the soul.
So, an atheist anti-physicalism, then.
Well, why not?
I could never give up appearances, propositions, properties, numbers, sets, or possibilia, anyway, and a whole lot more.
Given all those ontological commitments, why balk at souls?