We arrived at a very similar time in October last year and asked our driver to stop enroute, only to find the "service station" supermarkets were very limited. Our driver then took us to Yali supermarket in Kalkan, which was still open, in late season, coming up to midnight. We got all our essential bits and pieces for overnight and breakfast in the morning. if you're delayed at all, I think Smile supermarket is open 24 hours in high season. We are back in May on exactly the same easyJet flight, so we'll forgo the stop enroute and head straight to Yali - if you wanted to you could do a full supermarket sweep!