Some of the storyboards and concept art we've seen for Jack VS Oddfellow actually suggests it has the ability to be very campy. That Jack game-show scene is like the definition of camp when it comes to HHN.
Other than that, H.R. Bloodengutz's house is also going to be several degrees of camp. I'm pretty sure there are active rumors of a Monster Mash tiki-bar sing-along scene.
EDIT: I don't think the other three are going to be campy at all, with maybe the exception of Madlands having people playing people pretending to be animals to maybe some humorous effect.