Boy what a challenge! They couldn't have given you any LESS Girly fabric than if they tried!! The only think I can think of is to use the BQ pattern with the two focus fabrics for the large squares. Then use black or light blue as the large background and a dark pink for the lines. Then, go to town on the back with girly pink fabrics pieced together to make a nice backing. Even a pink ruffle around the outside might help.
Here is a photo of my BQ quilt with the photography/travel theme, but I think you can visualize it with your fabrics.
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