I finally figures out a decent method of storage and transportation of my tiles project. I simply stumbled on the perfect size plastic storage bins from Walmart.
I am guessing any brand will do, as long as it fits the above dimensions, and ones with lids that lock on via clasps is ideal.
I just simply lined the bottom with some foam material quilters use to cushion the bottom, and that is how I store all 18 tiles and doodads into 4 boxes. Definitely takes up some space, but not as much as them laying out allover my floor collecting dust.