My first response is, it's your quilt and there are no rules. You can do it how you like. But I understand how you might be uncertain as to what is the best thing to do.
I had this same problem once, and I put a different fabric around the outside of all the blocks, and used the other fabric on the interior sashings (if that makes sense).
Here's a picture if it helps. I used the floral on the interior blocks and the solid around the outside. Don't know if that helps with your quilt, but your fabrics and blocks are lovely. It'll work out beautifully regardless of what you decide to do.