You might try being nice to a banjo player. They often have their old heads (usually plastic)laying around - and the word is getting around in the banjo world now, that once you've tightened and then loosened the head it loses its tone. I have about four under my bed that will probably never go back on a banjo.   

That, however, shouldn't stop it from making a fairly good small drum head - 10 to 12 inches in diameter. How you would attach it is up to your ingenuity - they generally have a ring to which you can apply hooks.