I'll look for a HVAC motor when the storms are over.
There are different things that seem to control the idle speed on this system. One is the PRNDL switch. In neutral, the idle speed is constant. When you switch into drive, the idle speed briefly speeds up a little, because the PCM knows that there will be additional drag from the torque converter. If you let the car idle in park, the PCM doesn't got good info from the switch, and the idle speed gradually slows down, and after a few minutes, the engine may stall.
But the AC also seems to control idle speed. If the AC is on, and the car is in park, the idle speed doesn't slow down. The AC compressor is a V5 "always on" compressor, and the PCM knows that there will be additional drag on the system, and so keeps the idle speed up.