The Associated Press (they never use italics) punctuates the possessive of titles in quotes like this: "Jeopardy!'s" subtleties of language ... . If a question mark were used, would we do the possessive of the title in quotes like this (that is, with the apostrophe + s after the question mark, and then double quote marks after the possessive s). "Who's Afraid of Virginia Woolf?'s" followers ... .
I cannot find a relevant example in the style book, but that is an actual excerpt by AP with "Jeopardy!'s" punctuation.
Sounds wrong to me... "Jeopardy!" 's subtleties of language...because the possessive apostrophized s isn't part of the title. Although I'd prefer it as... Jeopardy's subtleties of language. Who's Afraid of Virginia Woolf?'s followers...