I would NOT recommend using an M3 as a daily driver in the winter, even with good snows. (I recommend Blizzak LM22s, which I currently run on my TL in size 225/50/17).
If you are going to be doing a lot of winter driving, RWD is not fun.
It can be done (I did it for years) and is not a huge problem with good snow tires. That said, why would you settle for an admitted compromise in traction and safety if you don't have to?
Yes, a well setup RWD car with good snows may be superior to the typical FWD car with average all-season tires. No argument with that.
However, a FWD or AWD car with good snows is far superior to a RWD car with the same setup. Trust me, I have owned both at the same time and there are a multitude of tests that have been done, including comparisons between RWD and AWD BMWs with a variety of rubber.
I love RWD and plan to always have at least one in the garage, but not in the snow.
Whether that means you should buy an M3 is up to you.
Quite frankly, if you have to ask the answer is probably No. Buying an M-car may not be for everyone, and the premium price is probably not worth it to someone who will not appreciate its virtues.
(If that statement offends you, maybe there is an M-car in your future.
)