I do this almost all of the time. After is secure it (frequently Elmer's school glue) I do ditch stitching around all of the squares. Then I trim it and bind it because I know that it is not going to shift on me because of the glue and the stitching. It is very much easier to handle as I quilt without all that excess stuff around the edges. Never had a problem. I am one who ties knots and buries threads.