A former colleague, Carol Krueger, used to generously help students who were having trouble with pitch.
They would come in to work with her on sight-singing. One trick singers often use to help themselves with pitch accuracy is to cover one ear so they can hear themselves. Carol had a better system, a bent piece of tubing that pipes the sound from mouth to ear...
Of course, this doesn't quite work for buzzing the mouthpiece so, it's off to the hardware story I go to invent this variation..
(thanks to Colt Campbell for modeling)