i think you can take a ferry from greece to cypris then to ilat in israel and then you ride cross the borders to egypt ,but you must check ferry lines in greece,and like that you cant get in syria or most of arab countries cause of your israeli,stamp on your passport.
i'm in egypt if you need any help or any other informations,
BY THE WAY TURKEY and syria is one of the good countries to ride,and i dont think it will be that hard even if the crazy war is on,you can just put a sign no for war ,u.s.a prisident is ------- and every one will be happy to see you in mid.east,haha i realy mean it
when you gonna start your trip??