Either way, the hive is doomed. :-x No reason not to experiment and play around a little if you have the resources to do it with. If you have access to a queen, $30 bucks to lose, and some time, its always interesting to try and see what you can pull off.
It is possible (although difficult) to requeen a laying worker hive, more luck with queen cells.
But yes, it is difficult in any circumstance, especially so in the fall. Which is why most beeks choose to shake them out and go with a split later on.
Rick