Good thought. I was able to use this once in NY to get the benefit of an expiring deal the next day by placing the order and then hitting the ready for pick up within 24 hours.
The next time that I tried it, I did not get the benefit of the better deal.
I dont know if there was a difference in the kind of deal - one was to use a DD perks reward which was expiring (worked) and the other was just to lock in a price (failed).
And no, NY does not have the 3-6 PM deal, but I did use it when I was in Chi-Town in October.