I just did this job a couple days ago. I used a 32mm bicycle head wrench for $17 from a bike shop, so no wait for the tool. I'd tried to use other types of wrenches I have, including an adjustable wrench that fit in there with no success, the belts just turned. The key is it has to have no play in the wrench, so all force is delivered directly to the clutch nut. First I soaked the clutch nut overnight in Deep Creep. I then hit the head wrench with a 4lb sledge hammer (reverse thread, clockwise). Two hits and the clutch was loose, then I spun the fan to loosen the rest of the way. Fed the fan blades/clutch out through the bottom of the car (might need to jack it up a little to get it out). Whole job = 5 minutes.
