That sounds good, Jim.

At my local club, the original organiser/MC would ask every attendee, as they arrived, whether they would be performing or not. Then he would point to performers to indicate that 'it's your turn next', so no simply going 'round the room'. This method also meant that he could vary the types of performers following one another, and he could allocate more 'turns' to the better performers (meaning that everyone was encouraged to improve in order to get an 'extra' turn).

I found that the best/most enjoyable format, but I'm sure someone will be along shortly to tell me I'm wrong! 😄😎