I would defintely weigh the difference between an AP rate and an AAA rate. Certainly grab the AAA rate if no APH rate is offered yet, but hold off as long as you can in buying the membership. Sometimes, depending on your travel dates, new APH rates will come out about a month before and some have been greatly discounted. The cost of a regular ticket + the extra for the AP may get you a better savings than the cost of a regular ticket + the extra for the AAA membership. Plus there are some better discounts for meals and shops with the AP.
The downside is that you don't get the Loews amenities, such as your welcome gift, with the AP rate, but you do with the AAA rate. However, I would gladly give up my milk and cookies for a great hotel rate!