Re: July and August must Go!
The problem is rather more fundamental, the reason given for the move was that the Roman census required everyone to move to their home places. In which case surely they could have stayed with Joseph's family? Also there was no Roman census conducted in Palestine over the period supposed and Rome never required such a move.
It was simply a factor shoehorned into the story so the signifiers of deity could stack up like cordwood. Born in Bethlehem, in Jewish eyes at least, ticked on box. That he was supposedly also from Nazareth was a problem in need of a solution. Hey Presto! a fictional census with a fictional stricture, add fictional star struck shepherds and Eastern Philosophers, stage it in a stable with adoring animals and you have it.