I think the perfect way to do a Lower Decks novel would be The Autobiography of Bradward Boimler (or Beckett Mariner, but I don't see them willing to give away her backstory in more than snippets). That way you have all the over-the-top silliness justified by being from their OTT POV and can factor in stuff like the POV character perhaps just bullshitting.
I like this idea! An older Brad writes his bio, but it would come with scribbled notes in the margins and bits of the text crossed out by Mariner and the other Lower Deckers, where they contradict his version of events to comic effect...