All of the hardware stores (ACE, Lowe's and HD) have smaller sheets of plywood usually 2' by 4' and 1/4 inch to 3/4 inch. They also have shelves anywhere from 6" to almost 18" and usually 5/8 thick but I have seen 1/4 inch in small sizes. I would go with plywood, properly sealed for weather for your project.
Hope this helps.
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Pennsylvania, for 60+ years, most recently, Allentown, now TV. 
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