A convenient source of thinner stainless rod (1/8", 3/32", even 1/16") is TIG welding rod. This generally comes in 36" lengths. You can get a package from various eBay sources for a reasonable price, but of course if you don't do TIG welding, that would leave you with a good bit of left over. Another option is to see if there is a welding shop in town that might sell you a few rods.