If you have a 3.4 amp current, it is not the battery. So you say you pullled EVERY fuse and still have 3.4 amps?

Really? If you remove the 200 amp fuse, both 50 amp fuses AND the alternator cable you STILL Have a 3.4 amp current flowing? REALLY? Are you SURE?
The 200 amp fuse feeds EVERYTYHING in the car except for:

The Alternator
The Brake Controller (one of the 50 amp fuses)
The Fan Controller (the other 50 amp fuse)

The only way you could have current flowing with those THREE fuses out and the cable off the alternator is if there is leaking current thru the starter solenoid.
And I REALLY doubt that.