If there is no way to persuade you to hire a pro just to cut the root ball loose, then I would clear the area around where you cut of all vegetation and a path away for escape from unexpected forces. Then take some wood or whatever and support the tree's trunk at a safe distance from the rootball, say 3 feet, and this will allow the trunk to come to rest on your support structure so the saw won't hopefully get pinched when the cut is nearly complete. The intent is to allow the rootball to flop back to the hole and the trunk to maybe shift a little but not have full twisting/dropping/kickback forces at play. Have a buddy nearby in case something goes wrong.
Also, show pics of rootball from bottom side in case further directions are needed, and some close up shots of where you might be cutting, 4' or so from the trunk/rootball connection.