Can a shell script find all groups of consecutive lines matching the same regex and shuffle them?

I'm writing quizzes for my students in a markdown language. One of the quizzes might look like this: % QUESTION Who played drums for The Beatles? (X) Ringo ( ) John ( ) Paul ( ) George % QUESTION What is the first line of MOBY DICK? (X) Call me Ishmael. ( ) foo ( ) bar ( ) spam ( ) eggs I'd like to randomize all of these multiple choice options. So, I think I need a shell script that: 1) Finds all blocks of consecutive lines that start with (X) or ( ). 2) Shuffles each of these blocks of lines. Is this possible? I know that shuf and sort -R will randomize the lines of any text but I'm not sure of how to go about isolating these blocks of options.