My first suggestion is to allow each person to pick the glory emblem that they would like to show rather than show their highest emblem. I like some better than others and would rather display them.
The second suggestion is to create a "special inventory." This would include all the specialty throne room cards. You would also not be able to delete these cards. Even though there are some cards that are useless to me anymore, Merry Chandelier, I would still like to keep them in my collection.