Take the bus for Bodrum ...

There is bus terminal in Kusadasi where you can find tickets. It is 155 kms. I also called for you Kusadasi bus terminal and i learnt that Pamukkale , Kamil Koc and Aydin Turizm sell tickets for Bodrum. below are web pages. Kamil Koc and Pamukkale online buying systems are working.
Price ; If you buy via internet is 25 Turkish Liras , if you buy from terminal is 28 Turkish Liras
Have a nice time.
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Or get a dolmuş to Söke from where there are loads of buses (at least every hour) to Bodrum.