2006 Bonneville America electrical failure

For strangeness like that you need a good local auto electrician with a pro grade scan tool computer. It sounds like a BCM (body control module) communication issue.

https://www.google.com/search?q=auto+electrician+near+me

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carbs need adjusting for vacuum alignment replace the spark plug on that side and make sure the wire doesn't begin to short out when hot?

Is the check engine light on ?
Have you checked base fuel pressure hot and cold ?

sounds like a fuel blockage, check filters etc

Well, I think you can rule out the AC/heater fan inside the car. That would make noise even just sitting in the driveway.

Many/most vehicles are designed to run the AC compressor not only when the AC is on but also when the defroster is on. This is to keep the AC compressor lubricated through the winter months also.

It should not be a belt problem as that belt is always turning anyway which should then rule out the pulley bearing at the AC compressor.

I do suspect your problem is a major internal failure of the AC compressor. This can be easily checked by a technician [or yourself if qualified]. Locate the electrical connector at or to the AC compressor. Two people: With the AC turned on, in park, increase the engine speed so you can here the noise. Disconnect the AC compressor electrical connector. If the noise stops instantly, the compressor has failed. A quite expensive repair. Have a reputable shop locate a re-manufactured compressor for you. That will help some on the cost.
Bestaluckto you!!
M

You may need to check fuel pressure after the engine warms up and shuts off. Maybe the fuel pump gets hot and stops. Have you checked for spark after it dies?

Have you checked the coolant level?

Just a very quick check,Swap the sparkplugs over.Don't put in new ones.If the problem follows that plug,it is only the sparkplug.Hope you get it fixed