I finally figured out a way to make it work...

Here is the outside of the box with the base box in comparison.

This is the storage diagram on the inside of the box top. Sorry for the flash glare. I'm a poor photographer.

Here is inside the box. Notice that there is plenty of room for other small stuff to fit. The twelve tile tuck boxes fit nicely and come just about flush with the top of the insert. The tower wouldn't fit in there as it is, but you could take the insert out and I'm sure it would fit fine.

This is the way the tiles fit into the plastic insert. Kinda nice, but a lot of wasted space.

Here is one tile from each expansion. You can see the watermarks on each of them. For me the difference in the ink is minor, but a more trained eye may see something I missed.
I apologize for the sin of not matching the river tile. I was in a hurry. I think one could easily store any number of fan-made expansions in this box with no problem if you took the plastic insert out.