Just wanted to stop back and say thanks for the input - the sending unit sock had disintegrated and the unit itself was in rough shape so we replaced it. I think it may have been the source of some of the gunk. We also blew out the lines and cleaned them with CLR.
The new unit won't give us a reading so we've got to see if it's getting enough power (reads fine on the multimeter when not installed) but that's a whole other issue.