make it into a quilt as you go maybe. sew them backsides together. trim to 1/4 in. and iron seems (batting and all) open. cover with two jumbo ric rac's (idk what you call it, they're kind of twisted together but they still lie flat.) and sew along the outside of the ric rac to hold it in place. Bind and ta da you have a finished quilt.
*I saw it on fons and porter, when I saw your blocks it just reminded me of that episode since it seemed to fit so well.