There Still Might Be Rooms Available, Even if the Sign Says 'No Vacancies'
Well, not necessarily. In some cases, a room will be marked as booked in the hotel computer because of a maintenance issue. Ask the desk clerk if there are any rooms with more cosmetic problems, as opposed to a room with a nonfunctioning toilet. If it's a simple matter of a stained rug or scratched table, you might be able to persuade the clerk to let you have the room. If you ask nicely, they might even discount the room because of the (marginally) substandard quality.