If you catch the 9:30am 'express' coach ( big bus) from Bodrum( destination Antalya) it will take you in comfort 4 hour and 30 minutes for the price of 25 TL ( tho that mighjt be the online discount price. Say 30TL
Services also at 12:00 and 17:15. Reserve with Pamukkale Turizm.
OTHERWISe you can do the Cooks tour of every single bus stop and garage between Bodrum and Fethiye by catching t-he Fethiye Co-op or something midibus, they leave fairly regularly through the morning and up to 4pm, takes 6 hours if you are lucky!