I'm not sure about the newer AS but on mine the fan's power is independent of the fridge. In the outside compartment where the fan is, the power is connected to the button temp sensing switch. When it gets hot enough the switch closes and powers the fan to move the warm air out so cooler air can get in and cool the fins on the back of the fridge. When the temp in low enough the button opens the switch and the fan stops.
I think if you put the Use/Store in Store, the fan will go off. You can put an ice cube on the button switch and that will stop it too.