Cynthia, I enjoyed staying two nights at the Hotel Rex, which was very, very close to the train station, but not impacted by any noise from the trains at all, in my experience. It is about a 3 minute walk to an entry through the wall, into the old town, but it suited my needs. I arrived by train, took a train to Pisa and back one day, and then left with an early morning train on to Milano and my flight home. The Rex was comfortable, with a good breakfast, reasonably priced, and even offered an RS discount, at least at that time, but I would not call it special. Many say that it is nicer to stay within the walls, especially if arriving in Lucca by bus, but it is also very easy to walk from the Rex through the walls and into the old town.