There is a reason they go by Tri-Kappa rather than KKK ...
Here's what I've found out thus far:
Beta Sigma Phi is the biggest and most nationally well-known of the sororities for adult women. It was founded by a man in 1931 and has chapters in every US state and Canadian province plus some overseas. It is non-secret. It is notable for having "levels" of membership one works up to.
Tri-Kappa (Kappa Kappa Kappa) is found only within the state of Indiana. It was founded in 1901 as a high school sorority but is now for adults. It has 148 active chapters. Don't call it KKK for short.
Epsilon Sigma Alpha was founded in 1929 and has about 1000 chapters today, including some on college campuses. Membership appears to be open (ie, not by invitation) to all women, and the organization seems to be all over the U.S.
Psi Iota Xi was also founded in Indiana - by a groups of schoolteachers and their students in 1897. Today it has approximately 150 chapters in Indiana, Ohio, Michigan, Kentucky, Illinois and Tennessee.
Phi Beta Psi was founded in Ohio in 1904. It currently has 2,082 members in chapters in 14 states.
Alpha Phi members will REALLY want to check out their site at www.phibetapsi.org.