I study Music Production & Technology (hopefully going back to do my degree this year) and to be brutally honest mate, it just doesn't really work like that.
What you need to understand is that studio engineering is a vocation, not a career. You don't just sort of go to college - go to uni - get degree - find a job immediately - work your way up the company, the opportunity just is not there. The best advice I can give you is to visit the studios themselves, let them know what you can do, offer to work for free, and eventually, one of them might just take you on.
What exactly do you want to do? You should keep a very open mind when it comes to working professionally in music. You won't get to sit down and help engineer a track, then people recognise your skill, and you become timbaland mark II - it just doesn't happen.
There is definite experience in events, however - music is huge, and since then, companies like Oxfam (Oxjam) are putting on music events for charity - you can work at festivals with free entry to the festival itself. To start working in the music industry, you might wanna consider getting in touch with a good publisher, and start getting some connections and contracts set up - more will come from this - library music, paid production work, releases on bigger and better things. Offer yourself as a studio engineer at home too - engineer and remix tracks for people, mix down, run studio days on the cheap. It will all help you build a reputation. Hell, do it for free to gain some studio experience too. If you sit down to an interview and you can tell them you've been tutoring out of your home for 6 months, they will at least think you know enough for people to keep coming.
The other option is learning some about live engineering, getting some kit, and start being a band's live sound engineer. It's far from impossible - you might start for free, but deliver a good service, and you'll get a good name - and the world's not all farty indie bands playing covers - many bands play professionally - weddings, tributes etc - and will require an engineer.
Hope this is helpful, it's all about networking and meeting the right people so don't be afraid to get out there!