We got eleven of thesefrom Home Depot. About the same cost as the official crates, but no shipping costs. The ones we got were the same size as the one in the KoP. (We actually got them a lot cheaper because we used a couple of $25 HD donation coupons to buy them.)
I’m not sure if you actually read the note in the update. There are two varieties of the crate. FIRST uses the smaller. If you get the bigger, the cover will be tight or not fit.
We bought several crates from Home Depot but ended up buying more crate at The Container Store. The weight of the home depot containers was about .6 lbs lighter than the official one. The ones from the container store were .3 lbs lighter while having the same dimensions. Just keep that in mind when sourcing your cubes that it is important to weigh them.