Ide Shoten is one of the better-known places to try Wakayama ramen, the city's dark, soy-rich chuka soba with a porky broth. It is close to JR Wakayama Station, which makes it easy to fit around arrival or departure.
Expect a simple counter-shop rhythm rather than a polished restaurant. Order ramen, add the local pressed sushi if it is on the counter, and keep moving.