Cozy accommodation with local food experiences in Miyajima?

Hey fellow travelers! I'm heading to Miyajima this November to soak in the autumn beauty, and I'm a bit overwhelmed trying to find the perfect place to stay. I'm a culinary enthusiast and love diving into local specialties. Can anyone recommend a cozy accommodation that offers authentic food experiences or hidden gems in Miyajima? I'm looking for a place that embodies the essence of the island through its culinary offerings. Any tips on booking traditional ryokans or charming hotels that won't break the bank? Appreciate any guidance and reassurance for a first-time visitor like me!