Well, in the city, $200 is not _too_ bad (remember, the USD is pretty
weak against the UKP at the moment, which doesn't help you).
I'd suggest looking a bit further out, as long as there are good
transport links. Try Travelodge
http://www.travelodge.co.uk
You could look at Stratford London (close to Olympic sites), and with
good transport links in several directions. It is not in the city, and
you'll have a bit of a trek if you fly into Heathrow or Gatwick (but,
ask, we can get you there with minimal stairs - I used to do this
all.the.time). But prices are closer to $100 than $200. So depending on
what experience you want, that might work for you?
Hanne in DK
(Used to be two underground stations out from Stratford :-) )