Ok, I am going to assume that is a 2000-2003 4.4i because a 3.0 would have that Aux water pump tilted to the left and that hose is standing straight up. Anyways, it is rare for that part to fail. I would first clean the area well, start the car and let it gut up to operating temp. Then check for the failure. Most likely point to fail are the connections leading to the aux pump. They are plastic and are only held on with spring clips. Check your expansion tank to see that is not leaking and spilling over onto those hoses. Check the surrounding hoses to see nothing is cracked as you said and spraying water to that area as well.

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2011 E70 50i M Sport