There are standard rooms available at almost every deluxe resort for your dates. I just checked the Disney website for you & figured out the problem. When you search, it defaults to one of the "special offers", & few of those have many available rooms, so it's making it look like there is no availability at the deluxes.
They do have plenty of regular rate offers at the deluxes, though. To find these, go back & put in your dates for one resort, such as Animal Kingdom Lodge. When the result comes up, you'll notice that where it says "X number of offers matches your search", the green button will be on some sort of special offer. Then you'll notice that there are multiple special offers for the period you're searching for. Move the green button over to either "Room Only" or "Package", and the search results will update. You'll see a lot more availability, including standard rooms. Then if you want to look at other resorts, click on "Search All Resorts", so you can see the regular offerings for all the resorts.