As far as range shifting from summer to fall...
In my experience, about half of the bucks I've photographed in the summer and recaptured on different farms shift more than a mile (2.5 miles not uncommon), half stay locally (less than a mile).
The buck I killed last ML I saw during the velvet hunt 2 miles away. Another buck I was hunting during the velvet hunt last year shifted 2.5 miles to another one of my farms by late October. Had one that was killed on a farm beside me in November that spent every evening in a bean field late summer exactly 5 miles away.
One of the main reasons I get so excited about the velvet hunt... for many of my bucks, it will be the only chance I have to hunt them before they shift away.