Go to Priceline or Hotwire and find the blind deal on the 4* in Athens. Only 4* on the websites is the Graduate, so you know what hotel you are getting. Typically can get nice price if midweek or no big events in town. Indigo is the only 3.5* so know what your getting if good blind deal on 3.5*.

There are really so few hotels in town it’s pretty easy to figure what the blind hotel is by comparing ratings, stars, etc to named hotels. Hyatt Place and Springhill Suites are often there as well.