One resource that you may find helpful is the AA Hotspot:

http://www.aa.com/i18n/AAdvantage/hotSpots/main.jsp

It lists destinations where low-level saver mileage awards should be plentiful for the next 3 months. Of course, since you don't have any particular destination requirement, you can also just do a bunch of award searches and see which route comes up with the best availability for your dates.