Why you don't take the direct ferry from Ancona (Italy) to Cesme (Turkey)? It takes a couple of days.
An alternative is a ferry Piraeus-Kos (a greek island) and the the small ferry Kos - Bodrum (Turkey).
The third option - and, in my point of view, the best - is to ride your bike from Greece to Turkey. It's just a couple of days of driving and you can see at least Meteoras (in Greece) and Istanbul.
I personally tested all the three options I mentioned above, and the third one is definitely the most pleasant! And if you can ride from Italy to Turkey through the Balkans it's even better...
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