The reason that I think they should shoot for the earlier one is that the entire date timeline is within interview range. OP broke the score barrier that basically guarantees (assuming adequate ECs, >3.8 and >36 is money) a significant number of interviews early on. Good chance is they will also have an October 15th acceptance, which means they can begin to become very selective in the interview process (where to go, what to spend, etc). However, the vacation days still leave open a couple of slots for OP's 'dream' schools that don't offer invites to OP early.
The issue I see with 9/29-1/2 is that this goes over the holidays, including Thanksgiving, Christmas, and New Years. The application process slows down significantly during this time, including with active interview days. This also means taht OP will not have October 15th acceptances, meaning he/she will be inclined to attend every interview he/she receives. The cost-benefit analytics person that I am really, really favors the 08/18-11/07 dates.
To be fair, neither of us know how the interviews will go, as there is so much 'up to chance' in this process. But that's what I think.