Where are you driving in from? Typically, Friday evenings will be the busiest. I would recommend doing online check-in from work if you're flying domestic. Then you can bring your luggage to the agent manning the self-check kiosks.
I would actually be more concerned with allowing enough time for car rental returns, since they require a short shuttle bus ride from the lot to terminal A.
There is an elite security line to the far right of the AA desks. I wouldn't anticipate more than a 5 minute wait to get through the line on a busy evening.