I'm fond of medallion quilts...here's a really nice one from Jan Douglas Designs. Personally, I don't see where the applique is (it says there's some in it), and think that you could do it without:
http://siterepository.s3.amazonaws.c...ng_2_21_13.jpg
And her website:
http://www.jandouglasdesign.com/shop...es-x687906.htm
Specifically check out
Origami Quilt Pattern and
Reflections, as both of these use nearly the same color fabrics as you have.