I have booked with either an AP, Florida Resident, or GP code several times during spring break. Usually Easter itself is a blackout, as well as at least part of the week before and after, but I have scored a discount as close as checking in the Wednesday after Easter, so it's possible.
Keep your eyes open, and be prepared to book immediately if something comes out. You won't have time to think about it or second guess. Once they get enough bookings they will change the dates on you, and you'll miss out! I know when I snagged that after Easter discount, within a day or two, the dates had been moved down to the following week.