The IOD fuse is live all the time. Are you sure you're looking at the right one? The stickers under the fuse box covers can be confusing, and some are exactly backward, side to side. You have to read them as if the cover was upside down.
A simple trick to finding a short is to replace the blown fuse with a pair of spade terminals, then use small jumper wires to connect them to a 12 volt light bulb. A brake light bulb works well. When the circuit is live and the short is present, the bulb will be full brightness and hot so be sure it's not laying on the carpet or against a plastic door panel. Now you can unplug electrical connectors and move things around to see what makes the short go away. When it does, the bulb will get dim or go out.
A common cause is the ASD fuse blowing because the wiring for one of the oxygen sensors fell down onto hot exhaust parts.