Your set up sounds like mine! I prefer hand piecing as well and keep my projects on the kitchen counter so I can work and mind the kids during the day.
The layering and curves of Catherdral Windows is fascinating and surely will require more fabric than project with end-to-end piecing. I'm considering making monogrammed centers for this pattern and then finishing into a throw pillow as gifts next holiday season. You have inspired me to consider hand sewing the curves to hide the stitches and make the mystery more beautiful!