I haven't read all the replies so apologies if this had already been covered. But what is stopping you getting a personal loan out for the remainder. e.g. each getting £15k loan. I know its not ideal, but its probably easier than a mortgage. You could even tyr and get 8K of that from a career development loan which is interest free until you finish your course - and by then you may be able to get a mortgage when they free up the market a bit, so you could then get the 30K on a mortgage and pay off your personal loans.
I am not a financial expert so please don't bite my head (and hat) off, just an idea.