We had a perfect stay at Asklipion guest valley. The appartment was small, but everything we needed was there and the shared garden was the perfect place to sit, eat and relax. The owners are super friendly and gave us great tips for our stay on Kos.
If you don't like animals (many cats and 2 dogs), this is not the place for you, but we loved the small cats sitting with us at night (the barking dogs at night a little bit less, but the owners tried to make sure they stayed quiet).
Furthermore, we really liked the location of the appartments, because it was a bit away from the mass- tourism but still close to Kos town (a car is recommended though...).
Would absolutely recommend Asklipion Guest Valley!