Intermitantly stalls at low RPM. After a 20 mile freeway run, after sitting about an hour, failed to start. Had to full throttle like a carbed bike, then sputtered after start. Let sit a couple of minutes, then started right up. After 10 mile run at freeway speed felt a kick, engine light came on for about 10 seconds then went out. Hade no failure codes during test.
The plugs, plug wires, coil, AIC solenoid, and fuel filter are all new. Have purged the fuel tank, and cleaned the entire inlet horn & intake.

A failing Ignition Control Module could easily cause those problems. Replace it and let us know if it solved the problem.

Will do. Can the ICM be R/Red without a dealer programing the unit?

Not sure--I'd give your Harley dealer a call.