Confused what path should I take.

I am a prospective MiM candidate, and I am confused between which schools to apply for. I am confused between 2 year programs and one year programs. A bit of a background information - I am from an engineering background, and I am pursuing CFA. I have a stellar GRE score and good GPA but almost no finance experience. The thing that is weighing on my mind is whether I should aim for a 2 year program like HEC, ESCP or LSE or go for a 1-year program like LBS or Imperial. My goal is to land a summer internship in IB to get a foot into the industry and I know I have very bad profile and final goal is to live in London. What should I do ?