HSBC actually have a graduate morgage under the topic special morgages which has lower pay back rates for the first three years and even take student loans into account.

I had no problem getting a mortgage based on my scholorship. My partner works, so had to provide three months of wage slips. I had to provide a letter from the university and my cheque stubs from the scholorship money. We went with Lloyds in the end, but all the high street banks were willing to take us on.

Hope this helps