The Princess of Naxos was a delightful "over-the-top" surprise. We were upgraded to a superior room, which had a great zero-entry shower, large enough for two. There are many hidden aspects until you are there -- the pool is at the front of the property, but aqua transparent panels provide a "sea-like" addition while providing some sound containment. The water pump/filtration and a small waterfall provide a quiet water noise when sitting nearby, very soothing. The staff responded with speed and responsiveness. One particular standout on the staff is Melina, who is warm, welcoming, and extremely helpful. The local owner is engaged with the day-to-day operation and that is good.
The hotel is not in Naxos town, but is nearby. My wife and I walk a lot and a nice restaurant and super market were within an 800 meter walking distance. The beach is 200 meters directly across the road, but the winds on Naxos are a fact of life. If you want wind-surfing, many beaches are available. If you want quiet and gentle swimming, your search will require more time.
Any visitor to Naxos should take a bus tour of the island on their first full day -- Melina can help arrange it.