I was going to suggest Monday, January 4. If at that point members have further witnesses they want to propose at a later date, then...ideally, January 4. We're now at December 7 and we're giving everyone a month. I understand that Christmas holidays intervene, but still, there are quite a few working days engaged.
If push comes to shove, if the light bulb goes off on January 15 and members suddenly think about someone, then they can put it through.