I have to add my .08 cents....
The second time was the charm for me. Of course rejection of any kind hurts. So I can understand how people get upset and may turn their attention to other forms of volunteer service (not other NPHC sororities or frats). I always knew that AKA was the only way for me. And now, being over in AKAland, working my tail off feels so good!
Sounds like PerfectVerse06's friend is looking to belong somewhere, anywhere. That need to feel wanted may speak to a greater problem for your friend. Sororities or fraternities don't fix your personal problems.
I certainly think your friend shouldn't join any sorority until she becomes mature enough to choose one and be comfortable with her choice.
But for me, a second choice did not and does not exist.