If you have a little more than €1,000/night to spend in July/August (it's half the price in May) and can stay a minimum of four nights, I can give you (privately) an address for a Cycladic-style villa in Paros, on the east coast, not far from Golden Beach.
It has three bedrooms, two bathrooms, terraces, and a private heated swimming pool.
It can accommodate three adult couples. It's a detached villa, not in a complex.
Direct contact with the owner, no agency or Airbnb
It looks like this:
https://photos.app.goo.gl/RHxvmcQWUfoBGV5LA
Also check out:
https://www.villabeat.com/destinations/paros/
https://parosproperties.gr/properties-renting-paros/villas/