Hey 064 PNY
I had a similare issue with my 66 alternator, and guys correct me if im wrong, but if you have a multimeter on the battery terminals while the engine is off, you should have around 13volts, then when idling you should have around 14.5 to 15, indicating that the battery is being charges, when you rev the volts should go up until your regulator cuts in and limits the voltage to the battery.
Judging by the fact that your charge light is on when idling I would suspect its the regulator of a bad connection somewhere?
Cheers
PNYGTA