I'm a full time postgrad from USA in social science and public policy too! I'm from Portland, Oregon doing an MSc in Environment, Politics and Globalization. What city/school are you coming from?
I'm coming to London with my boyfriend. We went to London for a visit during Spring Break and met with some advisors, and we only really have 3 options for 1 bedrooms for us; Wolfson, and a couple UoL residences. We can't really rent privately because I'm using government money, which is disbursed in payments rather than the lump sum that a ton of private residences or apartments want as upfront payment if you're not from the UK, with a guarantor.
Honestly, I don't understand why everyone wants to be so close to their campus, it's like a 30 min walk in between the major 3 campuses so they all seemed close to me. My campus at home is over an hour walk or a 30 minute bus ride from my house and it's considered super close in.
Anyway, we really liked the south side of the Thames near Wolfson, the market was really cool and it's got lots more trees and residences than the North Side, but is still close enough that you can walk across the river or take a quick tube ride to the popular spots.
I'd recommend going on Google Street View and looking around each neighborhood. It really helped us decide which apartments we liked better. If we don't get into a KCL residence, we might apply to Goodenough, ISH or look to rent a room in a place that's already established.
Will you be going to the Orientation in Sept?