LIke I said earlier. I didn't even notice. I just though they had a really nice ring to them.
So I wouldn't worry about anyone making a wrong connection.
However, something to consider, some local groups do name themselves after the sorority they would most like to affiliate with. I don't really know if that could hurt or help you. But it is something to think about. When I was in school there was a local like that. They were called Beta Omega (I think, it has been a while). It was well known they wanted Chi Omega to colonize them. Not sure what happened in the situation, but they eventually became Theta. So they did get a national eventually, so obviously the Beta Omega thing didn't hurt. I am not sure Chi-O even presented.
But I just wanted to bring that point up. Just make sure that the letters suit your group, and you should be fine.