I, personnally do not like or run singarounds. I prefer to run singabouts with no particular order. This way you do not get people coming in and sussing out which way the wind is blowing, getting a song quickly and then going just to return later and do the same thing. This often means that people who have been there since the start get missed out as there is not enough time.
I have always enjoyed the singarounds in the Tap, run by Jude and co., but there you go.
By the way, where are the previous encumbents going?