I've seen lots of people posting on these forums about their "theoretical" times - based on TFL's JourneyPlanner. In some cases, their times are only a few minutes inside Neil & Geoff's record. You'd have to be very lucky to get a day with no delays.
What's the best theoretical time JourneyPlanner has given you? How confident are you that your time could beat the record?
I don't think it would even be worth trying an attempt if your theoretical time was much above 18 hours. Even half an hour can get eaten away by only a few bad connections - Olympia, Mill Hill East and Hainault all spring to mind. If you can get JourneyPlanner to give out a time under 18 hours, even considering it's inaccuracies, you may have a shot, but you'd still have to get lucky on the day.
What do you think?