I will keep this brief, I looked at CMC and others back in 94 after growing up around this stuff and decided to go another route. That is another tale. You will find anything to do with snowcats or skiing in general to be a crazy political business as you will quickly learn. For this reason education is about the last reason you might get a promotion as you gain experience. I have a four year degree and factory training, but outside the manufacturers it has not been much help.
In grooming, school isn't going to get you far, but I hope that it helps you. Sure it will help you learn some basics, but as others have said its only seat time that matters. Not just yourself. I have been at this for 15 of my 33 years and spent countless hours riding with operators all over the US and Canada as I grew up. First, I just loved to do it. Second, it taught me different ways to approach things and of course, good and bad habits.
Here is what I suggest that has worked for me. Ask around. Ski areas, PB and Prinoth, your instructors, etc. Who are good operators and what areas are they at? Go ride around, ask questions, get exposure to different cats, parks, winching, fleet grooming, AND maintenance. Don't be an ignorant operator. Learn about what makes the machines work, and how to take care of them and make them last. It will make you a better operator and gain you respect among your peers.
Surround yourself with good people at what you find to be an area that "fits" and you education and experience will hopefully get you where you want to go.