Dr Del,
If I can not find a correct height tub, I am planning on just using those racks with full sweater boxes, as I have a full setup on those, and buying a new rack of these new size shoe boxes. If I decide not to spend the money, I will just do as you suggested with the false roof. I just hate to have things not the way they should be so I'll likely go with the first option should my search continue to be unfruitful.
Thanks for the suggestion!