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AAA might get you a tow truck if your car breaks down, but won't get you a flight anywhere.
We can't help you plan an award redemption using AA, because we don't know what carriers have award-seat availability for your desired dates of travel.
Have you looked at AA's partner redemption chart to see how many miles you will need in Business versus Economy? Have you called AA to ask what's available between DFW and HYD?