Well, I started by removing the ABS module, and what I found was definitely not good. The was about 1/2" of moist white crap at the bottom of the module. There was a good deal of this substance, and it was a bit gritty. So I cleaned it out, and sent it out to get rebuilt. When it returns, and it gets re-coded, I'll see if I still have a problem with the pump. Here's a photo to give you an idea how bad this thing looked inside:
I mean, WTF was BMW thinking when the came up with the location for this module? Couldn't they find a spot that was not prone to get road spray?