Well test drove a 330d LCI (local dealler didnt have a 335i) and was quite impressed. No rattles with the roof up and it handled well - but this was only a short drive and nice tarmac.
However, you could certainly feel the extra weight, so while you can still push it around corners you do so in a more relaxed manor. When i got back into my saloon, it felt like an elise
All in all, yes i think I could go well like the E93, but would need a much longer drive over over normal roads, including pot-hole ingested suburbia!
However, in a turn of luck i got sight of an amazing lease offer - so have bought a F30 330d...more about that in off topic soon