Hi SW18er, it's a great question and one clearly to get right now before the primary basement contractor is instructed as the internal finished ceiling height is directly related to not only excavation costs, but also the structural integrity/construction method.
Our own home has a 3M ceiling height (you are very welcome to come over and see it if you wish to give you a feeling for the space) and another one we are working on with a client has 2.8M.
We have just released a new guide to basements here
http://www.ensoul.co.uk/about/downloads ... basements/ but i think you are past this stage. Anyway, feel free to call me on 020 3637 0700 if you'd like to discuss, best regards, Mike Lander, Director,
www.ensoul.co.uk