If your room class is working correctly you shouldn't need a global, think about using instance attributes which are set in the constructor.
Also I don't think a separate class per room type is needed. It feels unnecessarily complex, as essentially each room behaves the same - it may look different - but you can handle to look of the room via instance attributes. What you need I think is to create separate instances of the single room class, and when you create the instance, pass in the walls, enemies, floors etc.