ILOILO CITY—Surely there’s more to this city than molo, batchoy, biscocho and tablea tsokolate. The city’s gastronomic haunts are well-known and all over. But in between hopping into these pit stops, you can take leisurely strolls along its esplanade, in the old downtown, in plazas outside churches and, yes, in its museums—the better to get...