That works to and is even better because the container never gets dirty. Out of curiosity what make and model of storage container do you have that can fit the entire bag and still close the cover? I really want to do that as well but can't find one that fits the Kirkland bags.
I bought mine at Petsmart, not sure if this is the same one, but it looks like it:
Dog food container
The wheels make it so easy to move, especially with a full bag inside.