Years ago a quilting magazine had instructions for making what I believe they called a hoop sleeve, to aid in quilting near the edge. Several of us in the quilt guild made one. I used mine constantly while I was still able to hand quilt. It covers about a third of your quilting hoop, and you pin the edge of your project to it. These pics are probably sufficiently self-explanatory, but if you're interested and need more information just let me know.
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(The rectangular stitching you see in the first pic is velcro sewn on the wrong side.)