Another update for you.
Drove the car 2.5 miles to FiveGuys for lunch. Before going I let the car idle for ~15 minutes. Drive to FiveGuys was fine. Drove 1/4 mile to AutoZone to a Parking Lamp Amber light bulb. Got in car to drive home. Stalled coming out of AutoZone. Restarted, made it 30 yards. Car stalled and died. Restarted, drove home through back neighborhoods to keep speed down and to pay closer attention to sounds coming from the engine bay. Idle surge and drop the 2.5 miles home.
Noticed yesterday when I started the car the smell of rotten eggs. Reminded me of the smell of a bad catalytic converter.
Can anyone provide the part number for the Crank Shaft Speed Sensor and the Integrated Power Supply Module for a 2004 E65 760i? Both are mentioned in other threads to be checked and correcting similar stall and stop issues.