I attempted to purchase LAH from Sigma Alrdich, but was not able to do so as a private individual.
As best as I was able to determine, the criteria that they require in order to purchase it is that you need to be a corporation that is listed at a commercial address. Even then, it sounds like if you are not a recognized research institution or corporation with clear-cut 'legitimate' need of some sort, they are inclined to deny the sale rather than risk running afoul of the DEA.
There are a number of other suppliers of this common reagent, but I struck out with several of them, likely for the same reasons cited. They are afraid for their businesses, I suppose, and such a small sale is not worth the risk.
If you do have a corporation at a business address, then you will likely find a supplier, but as an individual it's quite difficult. For Sigma-Aldrich, the sale had to be made in the name of the business, they would not allow me to ship it to a commercial address under my name.