We were extremely pleased with our 3 nights at Doga Apart. The setting is great--though it's only a short and pleasant walk to the centre of Patara, Doga is on the edge of the village and up a small hill. The setting feels peaceful and relaxed and from our balcony you had views over the village and out to the mountains. The room was simple, comfortable and clean with all the amenities you need--decent bathroom, fridge, air con. The breakfasts (which cost a tiny 15 lira extra) were outstanding--far more than you could possible eat (though we managed to!!). You sat on a broad verandah,next to the family kitchen, shaded by grapevine, looking over the vegetable garden and the chickens--all with a view across to the mountains.
The (relatively) elderly couple who seem to do most of the day to day running of the place were extremely friendly and did their very best with the English they knew (which was still massively better than my Turkish).
The price was very very reasonable and, all in all, we thought we'd made a very good and very lucky choice. Even though most of Patara is very oriented to north and western tourists, this place felt like you were staying in Turkey proper.