The closest hotel is next door: the Bayside Inn, at Ash Street & India Street. The next closest is about 3 blocks: the Hotel Republic, at Columbia Street & B Street. There are many more on the bay, within walking distance of Music Box.
There are many accomadations to choose from in the vicinity in Little Italy or in the Gaslamp area. Whether you are in the need of a motel, hotel or AIRBNB, I would Google it so you can find the price range that best fits your budget & style!
I'm not sure of exact names, but there's a number of them about 2 blocks away on Pacific Coast Highway.
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