I was a Rho Chi last fall, so I can give you a little bit of info about my school. We had lots of training for counseling our women. Although we were not certified, we did go through multiple weekend retreats and weekly meetings. We were given handouts of common questions, bounced questions off each other and also did role playing. We have a great counseling center at our school as well that students can go to for free.
Concerning us not understanding these womens' situations because we are IN a GLO, it is a good point, but just because we are in an organization now does not mean that we got our 'first choice' or that we weren't cut from the system completely our first time around. And everyone (or close enough) has been cut by someone they thought they really liked. We may not be in the exact situation, but we've been through a lot and seen it happen to other people as well.
As far as the frequency of women not getting a bid goes, there was one women last year who did not recieve a bid. Our school does a matching system where you rank your top two. If you don't get either of them, you are eligible for a snap bid, but you won't necessarily get one. For women who dropped out, we call them that morning and ask if they will accept a snap bid from xyz sorority. For women who don't get a bid anywhere(extrememely rare) the Rho Chi will go and talk to the woman in person and hopefully will have a snap bid on hand.

) All my women recieved bids, however the ones that dropped out without signing their cards, I personally called and informed them of the sororities open rush parties. We always have a few chapters who don't make 'quota.' One of those 'dropouts' is now my little sis and through her we got 3 more beautiful women. What an asset!

)