If you enter a local uni, you will have bulge bracket banks coming down for recruitment talks. A good number are very open to interacting with the students, and the alumni network is also decently strong.

Of course, I will agree that ivies and lse/oxbridge do well, but the local grads who put in the effort to network and work hard by getting good grades... its manageable. Certainly not something that is impossible; in fact, some of the students, in my honest opinion, are just very mediocre individuals who follow a cookie-cutter template.