Make sure you wait until the titration is complete before determining if the oral appliance therapy is a bust. A chin strap is a great idea. I am a fan of combination therapy. She could wear the appliance and use a cpap to augment. I do this and recommend it highly. My cpap with oral appliance is very comfortable because pressures are low. Without oral appliance, cpap is uncomfortable. I think many of the reasons people dismiss cpap is because of mask leaks-lower pressures will eliminate those. Good luck:)
It could be your jaw is falling back and closing off the airway. Combination therapy, with an oral appliance, could help. It should also allow you to lower your pressures substantially. The appliance simply needs to hold your bottom jaw in place so it doesn't fall back (if you elect to move it into the underbite position, you could notice even lower pressures). Amy Urban DMD