I went looking yesterday at Target - but those storage cylinders looked too small and going thru the isle I found a - get this - a toilet brush holder - in brushed stainless steel. 4" x 10" and has the perfect end on it (once the brush was unscrewed) to serve as the door. The only draw back is - while it says stainless and looks like stainless.... the magnet say otherwise. The cylinder is easy enough to play with - I can see having a couple different sizes anyway.
That Ti - foil from the Goat folks is where the expense lies.
Fun project to be around messing with.
I am looking for quick and easy set-up and this should do that over my K-stove.