Getting rid of LAD would make the rear LOW enough!. You will have a problem with the front springs as it will be a "fistfull" clearance from the tire top to the fender lip.
Due to the weight of the touring, the rear is almost the same height as a lowered E34 sedan with Eibach Prokits and Bilstein sports. Thats my sedan. My touring had LAD removed with stock springs and Sachs Supertouring shocks, it is exactly the same unladen height at the rear which is what I think you are looking for.
I was told that M-tech springs or H&R lowered spring for the front plus Bilstein Sports for the front will achieve the lowered effect you are after. I would rather use Bilstein HD shocks as Sport is a bit stiff on rebound. Sport will give a harsher ride if you are fussy about ride comfort. I want my touring to have a good balance while my sedan is a pure handling car (its noisy anyway)!. Good luck.