My understanding is that the instructions currently state that on the 24th day before the election, a list is provided. Subsequently, on every single day afterward, any updates are provided on a daily basis.
Obviously one of the most important provisions of the act is to allow the candidates to have as much notice as possible of where polling places are going to be. That's emphasized to the returning officers.
The only issue I would see with minimum times—and I'm not perfectly familiar with the instructions—is that there's always the possibility of a disaster of some sort or something where an immediate change has to happen. It would be more on an “as soon as possible” basis in those circumstances, obviously.