NPC Sororities with no school overlap?

[naraht]

If two groups were to merge, ideally there would be no overlap where you had schools with active chapters of both Fraternity.

I know that the NIC has pairs of Fraternities for which that is true, (Kappa Alpha Society and Alpha Gamma Sigma for example) and given the fact that the NIC has a dozen fraternities with less than twenty active chapters, there are probably *lots* more pairs. (In fact I think for KA Society and AGS there aren't even any schools with charters in common (active or inactive))

I know that there are no pairs of NPHC fraternities/sororities for which it is true (all 9 have active chapters at a large number of schools)

Is it true for the NPC? Are there any pairs of NPC sororities that have no overlap between the schools where they have active chapters? (Ignore for the purposes of this whether their history and culture would make a merger even close to reasonable)