Welcome to YorkieTalk, ShelbyKate! I have never heard/read of collapsed trachea being "outgrown" either. The only solution I have read about is surgery to possibly correct it. We recently had an opportunity to take Toto to a new facility and have her checked inside out. She too was doing the "honking" sound and I was terrified that it was her trachea. They checked her through bloodwork for everything that could be diagnosed that way and X-rayed everything else. Her "honking" was just "reversed sneezing" and everything else checked was perfect. The only problem was her weight and we have her on a diet for that! If I were you I would find another vet that may be more knowledgable of these little "Yorkie wonders" and get a second opinion. Good luck and keep us posted!