I've had that exact problem... when you are driving I bet the voltage wasen't over 12-13Vs on the gauge.... I replaced my alternator and it wasent getting the signal to turn on the alternator because I didn't push in the 3-wire connecter all the way in. I replaced my old alternator, drove to a movie, It died again.... I went with a volt/ohm meter because I thought I had a bad wire somewhere, found nothing, took OUT the new alternator and had it checked and it was perfect. When I put the new one back in I noticed when I pushed in the 3-wire connector it snaped once, then I pushed it in some more and it snapped AGAIN... after that it was perfect.
So yah, seriously check that connector, I almost tore out my wiring harness because of that little bastard