There are many houses around while walking to Bogazici village by the motorway. In Bogazici you may find water, even a small grocery store. Though, there’s not a long way from Boğaziçi to Sidyma. In any case Rasıh Mete (+90-536-814 48 82) or Sidyma Homes (+90-536-474 07 73,+90-536-725 17 95) would help you about anything at Sidyma (Dodurga Village).
People always have solution if there is no room available in here. Where ever you are there are always solutions on Lycian Way.
For this path, you can find some detailed information on this LINK. Although site is in Turkish, photos will give you a direction how the paths look like.
Please do not hesitate to ask if you have any questions. We'll be happy to help.