Chose any other place than the UK to study. I am telling you, it is H-O-R-R-I-B-L-Y expensive, and certainly not worth it. Very few Brits get a scholarship. There are many (WAY BETTER) institutions in Canada and America. Try them.
For engineering, America is the best. Australia is also a great place, my uncle got his Masters from there. But currently, there are no scholarships available.