We'll have multiple lists: Project 1, Project 2, and Project 3 as usual. Project 1 will have priority over Project 2, which will have priority over Project 3. (All that is as usual.) In addition, we will have the list of people waiting from Wednesday. That list will have priority over the Project 2 and Project 3 lists. (I'm assuming no one on that list wants to present Project 1 since the list was under Project 2.)  In other words, the priorities are:

Project 1 ... | List from Wednesday ... | Project 2 ... | Project 3 ...

The list from Wednesday is already ordered. The other lists are FIFO queues.

Sorry it has become so complex. Let me know if this doesn't make sense or seems unfair.