Just an FYI, there are very, very, very few FWD cars with LSD. I can only think of one off the top of my head factory and it's a quite rare car. That being said, I'll keep my eye out. Naturally, I'd ask if you'd consider an Audi, however, I've gotten enough tone to know better
They can turn into headaches if you buy the "wrong" one.
You may want to consider a 99 Impreza RS coupe. I still don't like even the SOHC EJ25's, but they've basically bottomed out in value and are more collectible/desireable than WRXi.
Also, depending on the years BMW, I would stay away. They can be great, but are very prone to timing chain tensioner pad failures