I don't know if this has been considered previously, but I think it would be pretty simple to post each Tuesday Trivia quiz here to the forum.
A way this could work would be to have a post topic specifically for Weekly Tuesday Trivia, and lock it so that only an administrator can add new posts.
Then, each Tuesday morning, in addition to sending the email, the email could be copied and pasted into a new post in the topic by the admin.
This would prevent people from replying with their scores or spoilers or whatever, and there would be one topic that held all the quizzes. That way, if someone doesn't get their email for one reason or another, they can still grab the new questions and the previous answers from the website.