There are some shops in Incekum. You're able to walk around in the area after the dinner. I can recommend Avsallar with several shops and a good beach. You won't have to cross the busy main road. You can also visit Alanya by dolmus. It might take some tim
Incekum is a nice and small place with some local shops. This is a good thing. I don't like to buy gifts at the gift shop. Magnolia, my hotel, was very good, 250 metres from the beach, it's great. There was a beach near the hotel with a lawn and hammocks.
There are only some hotels, shops and restaurants in Incekum. I loved the beach though! Very beautiful!