In Konya you can visit the Whirling Dervish Museum and Mevlana Mausoleum
Konya is the most religiously conservative city in Turkey, best known for its devout followers of the Sufi sect of Islam.
The Dervish Museum is filled with religious relics so women will be asked to wear a head scarf inside.
Konya is an interesting place any time of year, with many historic buildings. You'll find a great selection of restaurants here.