I don't think the divide between Britechester and Foxbury is that strong unless you specifically make it to be. Sure there is the idea of Foxbury being all tech and modern and Britechester older and more artsy, but personally I don't think it matters that much which one your sim attends. They will get a gigantic boost for their career anyway. I'm not very goal-oriented though so that could be why it doesn't bother me if they start their career a level or two lower.
I once played two friends where one would have benefited from going to Foxbury and the other was better suited for Britechecter. They went to Britechester together because I decided so. I have also built campus areas in Windenburg and Mt.Komorebi that I pretend to be exchange locations. Sims typically go there for one semester. My Britechester attending sims went to Windenburg which matches the spirit of Britechester more, but if you wanted you could also mix things up and have a different kind of exchange location, so all your sims would get something they enjoy.
