While the lane swerve isn't EXACTLY on target, it does provide a nice framework from which to make a personal plan. COB is (I think) still more organized than some fraternities' informal rush, so she will be invited to a party of sorts. Having her show up to an evening hanging out with friends and then somehow getting a bid can be as awkward as giving the hard sell up front.
I'd rephrase #3 as Invite her to a COB event to meet sisters and 4-explain the virtues of membership. There's no point in giving the hard sell of #4 if she doesn't pass #3 AND it won't overwhelm her too early if you do it in this order.
If you invite her over as a meeting friends kind of thing (#3) and she asks more questions, then her interest merits you jumping ahead to #4 even before the party.
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"Traveling - It leaves you speechless, then turns you into a storyteller. ~ Ibn Battuta
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