Is your school a school with a large formal rush (1000+ girls)?
Sometimes the reasons you did not receive a bid or were cut have nothing to do with having or not having recs.
I believe there were over 700 rushing last year at formal rush. (We have 11 chapters and about 45 per pledge class.) So, I know there were just way too many girls for everyone to get a bid, but I think recs would've helped.