I'd recommend PORS or POFQ, depending on whether you prefer beignets, a food court and shorts walks (POFQ), or a food court and TS restaurant and a more far-flung layout (PORS). Both are recently renovated and have lovely pools, lounges, and the Sassagoula River Cruise to DTD.
I think you'll be pleasantly surprised at what a moderate has to offer, and at how similar the amenities are to deluxes (with the notable exception of location; not being situated right next to a park). We stayed in a Deluxe for the first time in May (WL, after prior stays at CSR and PORS), and although it was lovely, the experience didn't feel like a big step up from our prior experiences at the moderates.