That Craftsman multimeter also has 10 AMP limit, so it would not work to test the alternator current. I always used DC Volt function on the multimeter to test the alternator. With the car running check the voltage at the battery. If it is between 14.2 and 14.8 Volts, then alternator is working right.
Car might pass the disconnected alternator test (as mentioned by OP), yet the alternator might be overcharging the battery (regulator is broken), resulting in blown fuses and shortened battery life.
PS my Taco alternator put out 110 Amp (tow package), a regular off-the shelf amp meter/multymeter could not handle it.