We ruled out a few things and eventually he determined that there was a supply of air coming between two of the six "towers" on top of the cylinder head, actually between the 4th and 5th back, and that air stopped at the same time the noise stopped. I had him start it while I checked it and determined he was right.
He went on his way and I pulled the "Dodge Cummins" plate off of the top of the engine over the towers to be sure that the tower bolts were all tight (they were) and the gaskets were all good (they were). I found that I was missing a 10mm hex head bolt on a drivers side bracket that holds the rear injection lines in place on top of the head. There was a small matching soot mark on the bottom of the "Cummins plate" above the hole. Hmmmm.
The bolt was gone so I replaced it (had to use a clamp to realign the bracket with the tapped hole) and the air supply from that location stopped. That had to be some sort of improvement, I would think. The truck seems peppier but it might have just been due to the 40 mph winds from yesterday dying down.
However, the noise at shutoff did not stop, and in fact lasted a little longer before tapering off to silence. Since I had more time to find it, I determined the noise seemed to be coming from the cone filter on the end of the aftermarket intake. Turbo spooling down, maybe? Maybe this is normal and I never heard it because I always had a stock airbox?
So anyway, moral of the story is to periodically check around the top of the engine to be sure those bolts are all there.
And if anyone has input on this air noise from the intake, that would be great. Since I have some more daylight, I just determined that the exhaust manifold gasket on cylinder one appears to be leaking. Those bolts look like fun, a lot of PB Blaster and time, any other suggestions?
Here's the engine bay and intake, cone filter is on the end. Not my choice of arrangements but it came this way and I don;t have the stock stuff to undo it.

TIA
Joe