Can a Condominium post the names of the deadbeats?

They can but the question becomes: should they? The condo can open themselves to lawsuits for defamation of character. It doesn't seem like a practical solution to collect payment and may do more harm then good. Posting lists can be seen as a personal attack and might provoke people into action. I would advise against doing it and only post legal documents such as eviction notices,etc.