Hello, I got on without an MSc, and I know of a handful of others who have as well. I almost didn't apply because like you I thought it would be too competitive and I wouldn't get on with just a BSc. In the end I did apply (and put a lot of work into my application), and I got in. Granted there is probably a bit less competition for my specialism (Medical Physics) than some of the ones which have fewer places, but I would still suggest you apply, you have nothing to lose. Continue trying to get research/work experience in the meantime.