There is a YouTube video out there somewhere that shows you how to make a Tyvek wallet. Also a company that recycles Tyvek into wallets and sells them.
In a different thread on this forum, there was someone asking about pine sap on his straps. I wonder if you could fashion some kind of sleeve to store your straps in after you take your hammock down. I don't know that you could use Tyvek on your straps when your hammock was hung???