This sums up why the student loan system needs seriously looking at and changing. I had a flatmate last year who was in pretty much the same boat. Her parents were very high earners but she had a very bad relationship with them so they weren't willing to help her financially. Because of the fact her parents earned so much her student loan allowance was the lowest possible and even with a job she could hardly support herself after rent went out due to how expensive halls are at our uni, even the 'budget' ones. The only reason she managed was because her older brother who had a full time job agreed to give her financial support just enough so she could make it through each week. The system shouldn't just be based on what your parents earn it should be based on what they earn and what they're willing to give to you, because the fact your parents earn a lot doesn't mean they're willing to give you money. Not everyone has good relationships with their parents. I agree that poorer students should be given more to help them get to university, but I don't think it should be solely based on household income because it's not always that simple.
If you really cannot get any form of financial aid from anyone, as much as it sucks, I would recommend deferring a year, working for the next academic year and saving up your earnings, and going in 2019. You can do that and it doesn't affect your offer. My friend did so to take a gap year. If you're really that committed to getting this degree it may be the best option, even though it sadly means you'll have to wait a year. At least if you do that you won't be struggling which will save you a lot of stress.