The e46 M3 is far from 'rice' but to answer OP's question: no the 335i can't sound like that. However, if you do like a more high pitched scream, I thought the AE exhaust had a pretty decent wail to it with downpipes. Straight pipes can also rasp a little but nowhere close to the e46 M3. With headers it's a rasp machine.
I always enjoyed the N54 gurgle and pops. IMO, you should embrace the car's sound. The e46 M3 will rasp and scream, Vettes have big grunty V8s, and the N54 has this amazing gurgle, pop, and wail up top.