One would be a humorously sarcastic approach where I make serious remarks but use vocal inflection to infer its non sincerity. This would be similar to the podcast making fun of those who fell for the War of Worlds hoax. Similarly, this would be targeting those who seriously believed in the hoax and the sarcastic tone will be used to lighten up the hoax.
Another method would be to attack the hoax more analytically. This would open up possibilities to play the music from The Division Bell in which the hoax is supposedly masked behind. This would target those who want to learn more about the hoax and how people believe it- not as much those who want to believe it.
Nice–sounds like either way would work really well. Or even some combo! The humorous/sarcastic vs. analytical reminds me of the two personas on Sawbones, so you could think about doing something like that as well.