Alternator sounds liek a possibility....but usually there battery power would not drain that fast (it took 2 days for mine to drain to the point it would not start).
It sounds more like a bad ground to me, possible the Mega Fuse went bad.(located just above the rear valve cover, on the main wire to the alternator).
My gagues did that, when my positive battery cable accidently rubbed up against my exahust manifold and grounded out....thats why i believe it may be a ground.
Lupe