Travellator – if you really want to ‘get away from it all’ you could try contacting YouFirst and seeing if you can book one of the private cabana rooms (within the Concorde Room). They have their own TV, sofa/bed and shower room. Don’t think they would do room service though!
A word of warning on embibing before your flight – be careful. You don’t want to numb your tastebuds with too much vintage Taittinger before trying the wines on the flight. I found the selection of wines onboard much more interesting (but I’m in the trade and a bit of an anorak about that).