Make a meal the centerpiece, then walk the old streets
On arrival, check how busy the restaurant is and choose Toge-shita beef or Setouchi fish. After eating, take a short walk into the historic townscape district, enjoy the sake breweries and merchant houses, and return to the station. Even a car trip can then include a real taste of Takehara.
Roadside station → restaurant → historic townscape district → shop for souvenirs.
There may be a wait for lunch, so consider walking around town first and returning to eat.