I think I missed something, what is your big task you need to fulfill? Finding an advisor? If that is it you can do it. As a group, make a list of profs, or whomever meets your school's critera. Include a number of women that you'd love to get but also know. Our first advisor was not someone who'd i have ever pictured being into a sororoity, but she came to a tea because she knew one of the women and saw her as responsible, intelligent and the type of woman who changed her ideas about sorority women. Have sisters talk to the potential advisors about phi gam.
~advice, don't forget about the women you got excited about phi gam. you don't always need to have a formal event, when you ladies go out to dinner, or a movie, invite them. Even if it is only two sisters and three rushees, the continous interaction in imperative. We fail sometimes in this regard, don't loose wonderful women cause you get busy.