I love those two songs, but they are the only songs that the daveheads know, and if one is played, they will never know any other song other than them. Especialy stream because of L@LC.
It will most likely be a track from Nomadic Wavelength. The show requested something from the new album, for obvious reasons. Even if they hadn't, I can't imagine Tim choosing one of those songs to represent him now. He has moved so far beyond those songs by his own admission.