while I have never been asked for a AAA ID, they will frequently ask for your Govt ID. Sometimes they don't...

but if you have a govt rate booked, and no ID, and if you are asked for an ID and cant show one, then you risk not only loosing the rate, but having to shell out the (what could be a much higher) hyatt rate for that day.

Bottom line: If you have a GOVT ID, bring it. If you don't, don't book the rate.