JAB Traveler shirts are solid as long as they're cheap. JAB in general isn't as bad as their reputation. I used to be in the anti-JAB camp but I now own a few shirts, sweaters, and suits and have been pleased. They're not incredible or on par with the rest of my wardrobe, but their is real value to be had if you go at the right times.
That said, a couple tips for JAB (and really any department store): 1) don't trust their salespeople to know their ass from their elbow when it comes to clothes or fashion. These places purport to know men's clothes but they let their employees look like disheveled messes in ill-fitting suits, odd colored shirts, and $40 slip on shoes. Do your own homework before you go in so you know what looks good and fits right. 2) Similarly, know what this stuff is worth. When you can get CT shirts for 30-40 on sale or BB for 40-50 on sale, dropping $50 for a shirt at Macy's or JAB makes no sense. And 3) get your own tailor.