not to hijack, but for drywall patching I have used in the past some 1x2" pieces, just longer than the hole (like 8-9 inches for a 6" hole, with liquid nails on the end inch or two, just slip a few pieces in the hole, and pull them firmly against the interior side of the drywall.
then take a hole saw, or whatever saw you have, and cut a piece of matching thickness drywall to match the hole as closely as possible, and liquid nails it to the small 1x2" pieces that you have already installed (wait for them to dry to the wall before installing the plug.
then mud the gaps, dry and sand, and texture and paint to match.
helps to cut the holes in an inconspicuous area to begin with (ceiling of a closet or something similar)