I have adopted using Bitcoin to refer to the project itself and BTC to refer to the currency.
See above, but replace BTC above with BitCoin, and append the following to the end in place of the period: ", with BTC as it's short form."
Bitcoin = client/project, BitCoin = currency (hence the emphasis on "Coin"), BTC = short form for BitCoin. That's just my convention, anyways.
Also:
I wasn't trying to be correct, I was just creating an arbitrary convention for readability [...]. I'm not overly attached to it, but it does have the advantage of being unambiguous