Like a heavy rain, which adjectives can be used to add an article to an uncountable noun

Like a heavy rain, which adjectives can be used to add an article to an uncountable noun

In addition to absolute uncountable nouns, many uncountable nouns are modified by adjectives and can become countable nouns,
A good time, a wonderful world, etc
Common absolutely uncountable nouns are: weather, news, information, fun, luck, progress, furniture, advice, business, etc

When there is an adjective before an uncountable noun, you can add an indefinite article?
In the above question, rain is preceded by "a heavy rain"
But another question:
_____ (What/What a) good news it is!
The answer is "what"
Isn't there an adjective before good news? Why don't we use the indefinite article here?

My understanding is as follows: (for reference) rain, rain; [pl.] shower. Fine rain drizzle. A heavy [light] rain

Which uncountable nouns can't be preceded by adjectives or the indefinite article a or an? Like weather, news, advice, paper

All uncountable nouns can not be preceded by indefinite articles a and an, whether adjectives are added or not
A and an can only be added before countable nouns