Here you go, if you haven't already been here, pull the cover off the ABS relays, as in the attached thumbnail, and then pull the relays out to see if that makes a difference (I am assuming it is the ABS pump that is staying on, making a noise when you shut down, can't see how the air conditioning could do this, as its pump is engine driven).
Attached in the PDF are some brief notes from the manual about these two ABS relays. There is also a ABS power relay under the dash from memory, I have not chased that one down as the my ABS is OK at the moment