I searched the Corpus of Contemporary American English (COCA) and found the following results:
a piece of good/bad news(But no results for 'a good/bad piece of news')
a sad/surprising/boring/shocking/great/small piece of news
And I read in a Cambridge grammar book: a nice hot cup of coffee / a cup of nice hot coffee
Do native speakers use both 'a piece of good/bad news' and 'a good/bad piece of news'? Where should we put the adjectives in a NOUN A of NOUN B structure?
Thank you in advance.