Barbara Cloyd has her Play For Publishers thing a few times a year. It is very selective, runs for a few days, and has a "tuition" charge. NSAI has a regular evening event for free where you can play songs to a guest publisher. I believe this is the event that Bobbie attends. This is from their website:

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Thursday, June 21, 2007, is Pitch-to-Publisher Night at the Nashville Workshop. Our guest publisher will be Liz Morin of Encore Entertainment.