You got some great responses and ideas. I agree that the log cabin and fairy panel colors crash. A much softer and subtle fabric like pastels will do better.
I googled and found this-
https://www.google.com/search?q=Mary...fairy+quilt&tb
Click on images.
Here is one on pintrest.
http://www.pinterest.com/alliwathen/fairy-quilts/
I think this particular panel is very soft and pastel in color so I would not add strong colors.
Fairy frost pastels would be great but most likely not affordable for something you do not get paid for. Maybe you can add just a little here or there but stick to the pastels.
Some of the most beautiful quilts have been made with these panels. I agree that the smaller ones are not needed and are taking away from the main panels. Maybe make a pillow sham with some of you do want to use them or put them on the back. You can just applique them onto the back fabric or onto the sham by just turning under the edge.
A simple border and simple blocks of the right fabric is all it needs.
Here is an idea on how to use the small panels alongside the large panel. I am not sure if you have enough small panels or additional fabric to do this.
http://www.pinterest.com/pin/5136987048764245/