“or that businesses cannot show names of those who bounced checks, “
Source?
Sorry. I goofed that. The fair debt collection act prevents debt collectors publishing lists of bad debtors. But nothing on businesses posting the bad checks. There could be a defamation issue if the checks were forged (happened to a friend in the 1990s - thief stole checks, forged the name and bounced them all over town). But not illegal.