Big Pine has changed its smoking status back and forth. Right after the renovations in 99, the entire building was N/S. But the above poster is correct that it has been mixed at some point since. I would call the front desk to verify the current smoking status. Even if it is a mixed building, you won't be able to smell the smoke in your room. You might smell it a little out in the hall, but not in your room.
And Big Pine is Alice-themed.