Kawara (roof tile) soba is a Yamaguchi specialty featuring green tea soba topped with shredded omelette, beef, and spices.
Out-of-towners will be excited by the piping-hot roof tile and presentation.
(Personally, I really enjoyed the parts of the noodles that became charred and crispy)
They also have a takeaway option, so it may also be nice to enjoy the dish in a park or at the rental cottage.
