It really depends on the school. I went to a medium-sized private university with a fairly active greek system. However, it was not uncommon for girls to depledge and then through either COB or the next year's formal recruitment, join a different chapter. I can name at least 2-3 of my chapter sisters who did that. However, I don't know what happened to them when they went to their former chapter during formal recruitment and how they were treated. My chapter never had a girl depledge from our chapter and join another one on campus so I can't tell you how we would have treated them--I do know that we didn't look poorly on girls who re-rushed after depledging a different chapter on campus.
I would see if you could talk to someone in greek life on campus who you trust and see what they have to say.
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