It is the wide harp machine you aren't wanting to replace...right? They are more expensive but I would imagine much easier trying to quilt the whole thing where it is a constant wrestling match.
Whoa...I tried the chin theory and it hurts like H@#. Did you find it so? I tried the under the arm and was surprised at the way it felt...much better..but would need to make a Velcro strap to hold it on so you wouldn't be constantly placing it. Mmmm what about the underarm gun holsters the detectives wear...LOL