Membership in more than one single sex GLO?

[naraht]

At this point, all of the single sex collegiately based GLOs (with Title IX exemption) appear to be either mutually exclusive by their bylaws or functionally so.

In the 1960s, the idea of a man being a member of the all-male Sigma Alpha Epsilon social fratenrity, the all-male Alpha Phi Omega service fraternity and the all-male Phi Alpha Delta Pre-law Professional would not have raise eyebrows and in fact the SAE chapter would proudly report the cross membership to the fraternity magazine.

In 2013, while I believe that collegiate membership in both an NIC fraternity and an NPHC fraternity that isn't in the NIC (say Sigma Alpha Epsilon and Alpha Phi Alpha) would be *possible*, I'm not sure how much acceptance there would be from student members...

So, does anyone know of situations where there are single-sex GLOs that aren't viewed in conflict with concurrent collegiate membership in an NIC/NPC/NPHC?