have you replaced the battery? Was it load tested when it was tested?
If you confirmed the alternator was bad, I would suspect it also took out the battery. A bad battery isn't always a dead battery, sometimes they read 12+ volts but will have no cranking ability, you need to load test them to determine they are bad.
I have personally seen that with a 1150 CCA die hard platinum. It read 12.43 volts, but would only produce about 100 cranking amps when load tested.