2001 Accord 3.0L V6
138k miles
Arizona (100°F+)
Newly replaced timing belt
Newly rebuilt alternator installed
No overheating
I've read other posts/threads but my situation is more specific/unique

Key position II: radiator fan shroud turns on, even when the vehicle has been off for 12+hrs & in shade
Key position I: radiator fan shroud turns off
Ignition on: radiator fan shroud does not come on (had it running for 10mins today and never came on)
AC & ignition on: ac condenser fan and radiator fan turn on
After driving short/long distance w/ignition off: radiator fan runs for 5-10mins

Electrical issues are certainly not my forte and I need some guidance. Thanks for your help.

 

When the car is ON (II) or running, if the coolant temperature is above 199 degrees F at Fan Switch A, then both cooling fans should run.
When the car is OFF (0), and coolant temperature is above 225 degrees F at Fan Switch B, then the radiator fan should run for about or up to 15 minutes.

With the AC on both cooling fans should run regardless of the coolant temperature at Fan Switch A.