Meat:
I have a couple of those boxes. I use one for my airline travel kit.
As I measure the box, the complete unit is 1-1/4 inches tall; the box without the lid is 1 inch tall.
So your dreams may be coming true.
By the way, it's a GREAT little box. Just a handy size, and there's a gasket lining the lid, so it's completely waterproof. And, yes, I'll bet you could boil water in the tin.
Bear
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No fire, no steel.