If there is an Ap discount offered during the time you are going, you will get it even on the Home Away from Homes.
I stayed this pass April at the Wilderness Campgrounds in their Cabins, which is considered HOME AWAY FROM HOME, they take off the same amount that is used for the Deluxe Hotel. Which for last April was $115 off. They also offered Old Key West, but we chose the Cabins.
I hope that helps,
Larry