We have video announcements at my school, and I was in the TV class that ran it last year, and profanities aren't really a big deal.
Last year we said "Shit" once, "Fuck" three times, and "He's probably taking it up the ass right now". And those were all accidents. So, setting up some elaborate plan to do something like that isn't a big deal. All it takes is for the final editor to just fly through his job because he assumes that nothing needs to be cut from the actual reading of the announcements.
Not only that, but our announcements are played over basic cable in our town, so by saying fuck and shit on the announcements, we also said them on local TV.