Whoah! Red flag!
I definitely would not do this!!
My school's panhellenic won't even tell us who the parents are and the student's address so that we can try to track down alumnae who may know her. So why should we give them what we've got!
Their concern should be that the person made a specific GPA.
I can see the definite possibility of the rec info being given out, verbally or not, to other Panhellenic members.