On a 8+ days rez, the last 3 days are the free ones. And at least one of these must at least on 6/27.
So any rez. must end by 6/30.
For those that need to stay after, the best option is a split rez, with room only from 7/1. Just get extra days of tickets at the beginning. Unless you are doing dining and so you would need to do a 1day base tix in the package...