I have never had AAA membership for past few years because my car came with free towing service and hotel saving is NOT significant compare to most prepaid rate until I stay more frequently at Hyatt Properties.
The saving is big sometimes and all AAA rate comes with free breakfast for two.
I stayed at Hyatt Regency at San Antonio, where room is selling 209 on hyatt.com. With AAA rate, the room drop to 119 with breakfast. One night is enough to pay AAA membership.
Also, AAA rate is a flexible rate, so you can cancel anytime. This added more value to AAA membership dues.