I am working on a Cathedral Window quilt and don't have the raw edges. What technique did you use for yours? Mine is like this one:
http://www.quiltingboard.com/tutorials-f10/machine-stitched-cathedral-window-tutorial-t35742.html
As you can see it does not leave raw edges but a folded edge. I also did a "test run" and made my sample into a pillow but yours would be beautiful framed as Jennifer23 suggested, then you would not have to worry about the edges. I also am doing the "windows" by hand, not sure if I will ever get a quilt or not, maybe a bed runner. Wish I had done it by machine now that I am so far into it.
Love your colors.