Bandirma
Viraj Rentacar is a local car rental service with an English-language page on its website. It's located at Mahallesi Mehmetçik Caddesi 29 in the Pasabayir neighborhood near the ferry landing.
Bursa
The worldwide car rental chain Europcar has an office in Bursa, one-and-a-half hours east of Bandirma.
Canakkale
Canakkale, two hours west, is a busy port town and hub for tourism to the Gallipoli region and the ruins at Troy. According to the website of the local Anzac Hotel, the city is served by the firms Rumeli Rent-a-Car, Miller Car Rental, Assos Rent-a-Car, Delta Rent-a-Car and Vis Rent-a-Car.
Istanbul
Turkey's largest city--and home to dozens of rental car operators--is five hours away by highway or two hours by ferry. Some ferries take cars as well as passengers.
Local Possibility
The Istanbul-based travel agency Icem Tour Travel advertises cars for rent in Bandirma on its website, but does not list an address in the city.