Have you considered making a sampler with your greens? That would allow you to make all sorts of different blocks and practice different skills as you go. Using the quilter's cache web site you would never run out of choices for blocks!
One of my earliest quilts was made using the quilter's cache 'lover's knot' block. It turned out great! I made it in dark blue, yellow and white. Your greens would adapt nicely to that block too, I think.
http://www.quilterscache.com/L/LoversKnotBlock.html