[FuzzieAlum]

If there is a chance you do want to affiliate later, I would not use the name you are considering. Sigma Kappa's national office would probably consider it arrogance on your organization's part to have their letters, in their order, in your name (no matter how you actually meant it), and other national sororities would think, "Well, they really wanted to be a part of Sigma Kappa, and we won't be second choice."

There are organizations with similar names, but they generally developed far away from and in ignorance of each other - such as Chi Omega and Alpha Chi Omega. The few groups that have names based on another organization's are generally women's groups developed from a men's group, and they emulate the fraternity's name. Or, more rarely, they were a local that split from a national.

Whether a group has Greek letters for its name or not has nothing to do with whether it is a sorority or not. There are a few local sororities that have names like "The Primroses." And there are Greek-letter organizations that are not fraternities, like Chi Alpha (a Christian club) and academic honor societies, like you have on your campus. So no matter whether you form a social club or a sorority, or whether you stay local or later join a national organization, pick whatever name you like that is meaningful to you. Just be careful not to pick names that sound derivative of established organizations if you might possibly want to affiliate down the road.