Your engine does have the two ignition switch boxes (item 20 &21 from above drawing), correct?
I forgot to suggest disconnecting the 4 yellow wires of the two voltage regulators (item 18) as another test.
If one or both of the voltage regulators is bad, this can interrupt the CDI ignition.
Without ignition obviously, the engine won't start, so make sure it's working.
I'm really not sure I'm using the correct service manual so if possible a couple photos might help confirm.
I think the constant buzzing you're experiencing is just the warning system telling you the key is left on on while the engine isn't running. But yeah, the warning system runs off the same power source as the ECU.