I grew up in Coral Springs, Florida, so I understand your location and I may understand the challenge--- FAU has many outstanding academic programs and great students, but is considered a commuter school. Of my HS graduating class, if you didn't go "away" for college, you would go to the local community college (BCC) and transfer to FAU, or go straight to FAU and have the benefit of a great degree and living at home-- A lot of students come from far away, a lot don't. You have many students living at home, and a good number of international students.
My recommendation would be to host open house events for the women who are freshman and sophomores at FAU and BCC-- a dinner or ice cream social. Something-- not necessarily-- here is pressure to join; just an introduction to the Greek System that is orchestrated by Panhellenic. Put up flyers in the dorms, be out at the orientation events, make sure your Greeks are visible on campus-- maybe once a week, Panhellenic can host a Greek Pride Day where every chapter wears their letters. There could also be a "Dress to Pin" day each week where all Greeks dress in pin attire and wear their pins to class. This will help promote Greek Life at FAU.
Get involved on campus-- the best way to recruit role models and leaders is to find people who are already involved on campus! Like attracts like.
You can also have an open house for high schoolers in the area to introduce them to the concept of Greek Life-- Spanish River High School, Ely, Taravella (Go Trojans! Hee hee), Douglas, etc. You can appoint Greek Ambassadors to host student assemblies and present a slide show, etc. These are your potential members.
I know its upsetting to have so few women enrolled so far in recruitment, but I assure you most schools see a huge jump in recruitment enrollment one day or so before Greek Forum/Orientation. Keep smiling and remember to paper the campus with the event times, dates, etc.-- the school paper, radio station, TV, fliers, posters, sidewalk chalk, banners, etc. Make buttons with "Ask me about Greek Life" written on them and have your Greeks wear them. Set up tables in student commons areas-- residence halls, student union, cafeteria, etc-- if your Panhellenic bands together and every sister makes an effort to promote, you will be successful. This isn't an overnight solution, but it is a start. Just remember that recruitment is a 365-day a year activity-- so keep promoting Greek Life!!!
Good luck from a former Floridian