When I was in school in the 80s, they were called Southern Belles. Now that little sister groups are forbidden, I would doubt they would call women anything that could be construed as confering "little sisterhood" on them.
As a sidenote, the little sisters of my ex-husband's Sigma Chi chapter ended up founding the Delta Gamma chapter at our university. If you want a name or letters, do it for yourself and join a GLO that will be interested in developing you personally.