I faced the same dilemma when I bought my frame. I solved it by learning to quilt away from myself. I have a tailor's thimble for my thumb, and my "away" stitches are as nice as my usual stitches.
You can get around having to learn to quilt with your thumb by planning a route that goes in just one direction - doing half the fleur de lis design or half a diamond, for example, and then doing the other half.
Janet