If you want to support local businesses then cash whether lira, GBP, Euros or US $ is the name of the game. Extortionate charges for businesses for every credit card transaction which I am afraid will eventually end up reflected in the prices of your meals, drinks, trips and shopping.
You may decide to give Turkey a miss of course but the first timers that I have met (a lot) that would normally have been holidaying in Spain, France or elsewhere in Europe are totally blown away by their experience in Çalış. They love the cleanliness, the friendliness, the quality and the affordability. So many have already booked to return again...