The D9P would work great for that.... Disappearing 9 patch
Do a search on here and you'll see many samples and tutorials of how they work.
If you use your "good" fabric squares in the outter corners they will stay intact when you do the cuts.
If you want to have them divided up, use them in the "cross" of the 9 patch.
If they will hold their beauty, use one of them as the very center of the 9 patch and it will become 4 little squares.
Also, you could use them in a "10 minute" block as the center of it and that would showcase them very nicely also.