That was good advice Phisig4life.
My adivce: try to Keep things as netural as possible. If you are going to mention something about Phi Sig be sure you can say something about xyz too. If you can't think of anything about the other org., try talking about sororities in general; for example the sisterhood offered, philanthropies, formals, networking, etc. (we talk about going national instead of local. Not to knock the locals they are hella cool, but we'd rather people rush us

)
Its a really hard thing to do, I know. My chapter is in the same situation too, but as long as your equal everything will be ok.
By mentioning both, it looks better in the eyes of the pnm. We make sure as Phi Sig, all sisters talk about xyz too. xyz never talks about us and then after recruitment you hear how much better we came across on first impressions not only to new phi sigs but to women going through recruitment in general.
Besides pnms are smart they will go where their heart is, and all during the parties you can talk phi sig up to help them in their decision.
Diokete Hupsala! Its hard being number 1 but all phi sigs gotta do it!
~Heather