This podcast is super fun and hilarious. And I have to put my two cents in. Here are the album cuts to play: Cavern, Guelah Papyrus, Stash, Horn, Rift, and for funk you can't go wrong with Split Open and Melt, maybe Bathtub Gin even. And keep emphasizing the technnical prowess and breadth of styles. Lyrics and "I don't like his voice" are the easiest criticisms to make and the hardest to defend.
And then find a power jam that's on the short side. It only needs to demonstrate the kind of drift--where in the the rythmic and melodic landscape collapses in on itself, alll the while under perfect control--that's unique to Phish, and can actually hook you emotionally. There's a Good Times Bad Times cover where the drift happens, and the whole thing's less that 4 minutes long. The jam goes fucking haywire and then lands perfectly back on that classic riff.
If that doesn't work then just keep being hilarious for like 5 more episodes. I love this show!!