It would probably be the first week of July, the May holidays wouldn’t be long enough sadly.Which month are you planning to go? I was massively put off Turkey as our neighbours went last year in July when there was an extreme heatwave. It was mid-40s and above if I recall and even though they like the heat they found it too much. There was a big chunk of the afternoon where it was too hot to swim or do anything but sit in the air con.
The AI hotels do look nice there but May half term might be a more pleasant time to visit.