There are multiple tracks when it comes to "musical engineering." The first is studio recording. That can be either in a major professional recording studio, or doing the same thing in home studios. Sad to say, the vast majority of recording is done in home studios now - and that includes major artists. I read somewhere that one of Lady Gaga's producers puts everything together on his laptop, and only goes into a big studio to add finishing touches and mix. Major studio recording jobs are incredibly rare, and frankly, I don't recommend pursuing it. However, anyone can build a home studio with enough money and knowledge.
The second track for music engineering is live production. That includes major rock concerts as well as clubs, private events and more. This is the area I mainly work in today, for a couple reasons. The first of which is that studio recording jobs are mostly dead (see above), the second is that there's more and more consistent jobs available in live. And this track includes other, shall we say "less musical" jobs like conventions or sales meetings. Yes, they're as boring as they sound, but they also typically pay better than the music ones.
There's a couple major keys to live engineering. The first is being in a large city - not a lot going on in Fargo, where I grew up. In cities like Dallas, Atlanta, Chicago, Denver, or Las Vegas, concerts and events are going on almost constantly. Think of Strip shows like Cirque du Soleil, but there's also literally thousands of convention events in Las Vegas every year.
The second key to live work is being a part of the stagehands union, IATSE. They have chapters in virtually all decent sized cities (even Fargo), and depending on the city, are a major source of work. Here in Las Vegas, there are certain shows and venues that only hire union crews.
The good news is, both live and studio engineering use most of the same skillsets when it comes to audio, signal routing, microphones, etc. Of course there are differences, but many engineers float between the two, going where the work is at that particular time.
For either, I also recommend going to school for audio production. While it's not critical, it will teach you a lot, and there may even be job opportunities through the school. And I always tell people one thing: education is good, experience is very good, but having both is the killer combination. And there's no reason you can't work in this field while going to school - most schools of this type are in major cities I mentioned above.
Hope that helps. Good luck!