If he did a carpentry apprenticeship, he wouldn't be a "graduate".
If he did a university degree and became a graduate he wouldn't be in the exact same position except with loans, he'd have a key piece of education which would widen the job market for him, doors that were otherwise closed would be open, in addition your student loans are linked to your earnings, so it wouldn't be like he'd immediately be saddled with a huge burden he'd need to pay off.
If he's on a low enough income he would probably find his courses at the college would be free or very cheap if he wanted to learn a trade like carpentryand he could do them in the evenings or at weekends.
In this climate, I'd be more inclined to do training, university etc, and hope everything picked up whilst I was studying, especially if I was on a low income. It seems like you'd have little to lose by not doing it.
You want a rousing story? My DH moved over here so we could be together, we didn't want to get married as we felt we didn't know each other well enough, so he came on a student visa, it cost us $100K in student loans, I didn't like where I was working, so took a downwards move into a new industry in order to "get happy" just as he moved over. I then got out of a bad job situation (office bullying) by moving to London on a whim. Two years ago we were surviving on my very paltry income, living above a burnt out fish and chip shop in a studio flat, scraping together pocket money to put on our oyster cards.
He worked and studied like a man possessed, got accepted on one of the top masters programs in the UK, walked into a very highly paid job within two weeks of graduating, I worked 24/7, weekends, week nights, christmas day, got promoted five times in 18 months and after some strategic moves I am now in an executive position and own part of the company I work for. We're both still in our 20s.
We've been together for about six years and married for 8 months. It's been an amazing rollercoaster ride, and we're very happy
Work hard at changing your life, if you actually want it to change.