University Choice for Consulting

Hi WSO!

I am a senior in high school and want to become a Management Consultant or an Investment Banker in the future. I applied for universities in the UK, Canada, and HK. As an international student, US universities were too expensive compared to my other choices.

I have conditional offers from LSE, Warwick, and Edinburgh, but had to decline Warwick because LSE and Warwick gave me the same conditions. My firm is LSE and insurance is Edinburgh.
I got an acceptance from UBC and a rejection from Ivey Business school (AEO). I'm waiting to hear from Waterloo and Western.
I haven't heard anything from HKU and HKUST yet.

LSE would be the best school for me but the problem is that I might not be able to meet their condition. Also, as an international student, UK is not an ideal place to get a job/Visa. Plus, I am not sure if Edinburgh is a target school for MBB and other consulting firms.

My acceptance to UBC is not Sauder business school. I was in such a hurry when I applied to UBC so I didn't know about Sauder at all. I wonder if I could get an internship with a bachelor of science (math and econ). However, if I end up going to UBC, I will probably try to transfer to Sauder.

If I got into LSE, that would be amazing, but assuming that I have to decide from UBC (no Sauder/Math & Econ), Waterloo (Risk Management), Western (no Ivey/MOS), Edinburgh (Math & Business), HKU (no IBGM/Finance) and HKUST (no GBUS/Info Systems), which university should I go to break into Consulting or IB?

Thank you!

Edit: I just found out that MBB usually ask for SAT/ACT scores. I used my IB Diploma for all of my college application. Should I plan on taking SAT during my undergrad? I took SAT only once just to see my scores. I didn't really prepare for it so the scores aren't that great, which is the reason why I've never used.