Adam, most people go through one or mroe career changes in a lifetime, and its not an easy decision. Hopefully it is something you really have a passion for, and not just a move for the money. Right now the job market is pretty bleek, so I do not envy the decision. In my company when I worked, all the Union people had labor grades 1-19. Most things over 16 were considered "skilled trades", and they included NC machinists, precision jobs in tooling, metrology, welding (me), and many other thing required certifications. Once you are in these companies, you can bid on open jobs and move up.
Before you make this school decision, you may take a day or 2 and go to places who hire NC machinist, tell them your plans and have them give some insight to who they hire, minimum requirments, etc. Even when you have the school training, most places will require experience. You may have to spend some time jobshopping, before a major company job. Many companies when you are employed, will pay for education, which was a really good part about my company. Lots of people continued for Masters degrees, and the company paid for it. I spent a year or two, taking a robotics course and shifted into the robotic welding department, which was a new frontier in the company. Best thing I ever did for my job security, but it was also something I had a passion for, hopefully you will have that same enthusiasm for what you decide on.
Its a very tough world for all you younger people right now. Millions right now have their lives upsidedown and making these carrer moves and changes. Which direction to take is a very hard decision, if its twards a degree, what field should it be? If its twards a trade, there are many things to consider as well. One thing I know for sure, and that is almost every profession and job, is now affected by the computer world. Even in my field of welding, like machining, was a big shift to goto automation, or programable processes. Your generation was raised with computers, and computer logic, even with all the video games, its second nature to your generation. Don't forget all these things also need to be fixed, so not only is a NC operator/programer a carreer, so is the repairing of these things.
Check out the school, and how highly regarded the school program is to local machines shops and factories. In my area, our local jr. college has had the industrial arts programs severly cut back, which is a real shame. Many trade schools are a big consideration knowing the obligation for student loans will be something to deal with later.