Eric is right. Word of mouth is the best. I have AAA and had two major accidents in the past two years (not me - my better half - in a Honda and a Toyota - repair costs of $9k and $17k). AAA sent us to two different shops and quality of work between the two was like night and day. AAA approved can get you started (at least for the estimate) but you still need to do your homework. Ask to see some finished work before you trust them with your MO.Eric L. said:AAA approved repair shops tend to be safe to go to, since they do undergo regular inspections and surveys to make sure they do a good job.
But I think the best source is to go by word of mouth. Ask friends, coworkers, they will tell you places to go to, and most importantly, places to avoid.