the aux fan will run on low whenever the ac switch is on regardless if the engine is running or if the ac works, you can test for the sensor by just unplugging it plug's brittle don't manhandle it) theres two relays a high and low speed in the smaller box on the left fender well forward of the fusebox, i can't remember the positions but theres only 2-3 relays in that box, try smacking them first then you can unplug them one at a time till you find the offending relay that shuts the fan down, then switch it with another relay that has the same pins from the car and see if the fan still runs
all america wants is cold beer warm cat and a place to take a poop with a door on it