"put each newspaper title in Q&P?" Great idea. I, and many of my fellow solvers, come here with a specific crossword in mind.
If the main menu can go down to three levels why not list individual papers in a sub-sub-menu under "Crosswords"?
If not, why not "Crosswords" as a main menu entry with individual papers at the next level? Should be within the IT skills of most users to put their questions under the right entry and use the right entry to find answers.
Would save lots of research to see if an answer already exists, especially if you are a couple of days behind publication.
Not all of us get our papers at a London Terminus in the early hours.