I was using Coinbase for selling BTC. I would appreciate any other recommendations for selling in the US.
Circle, Itbit, Gemini. You're going to come up against the exact same issues if names and accounts don't match though.
What about Bitstamp or Kraken? Might be easier as those companies trade USD, but operate out of Europe (and I think OP said it's her British nationality that's thrown up many of the obstacles)