I’m the same regarding neck humbuckers.
Having had a Mule set in a Korina single cut PRS SE, I think that you’re on the right track with a Mule neck. It’s not muddy like way too many neck humbuckers are. There still is plenty of warmth to the Mule neck, so I don’t know how that will affect the rhythm parts you describe.
One pickup that many here recommend as a bright neck humbucker is the Riff Raff neck model. I haven’t used it, but maybe someone will chime in regarding it.