Have you tried a magnetic hanging system? I bought these on Amazon. There is a small magnetic plate that adheres to the wall with a 3M adhesive pull tab so no nail holes. Then you put a curtain rod through a rod pocket on your quilt and just stick it to the magnets.
This will really be handy for us where we move quilts on and off the walls frequently.
These thin curtain rods pictured are working great for small quilts. I read reviews, however, that say you may need steel rods for big quilts for more magnetic hold. You can purchase 1/4" steel rod at your local hardware store and they should be able to cut it to the length you want.