Originally Posted by
Cymro
As a wheelchair user, I might be more reluctant to do this than otherwise, but this sounds like an ideal opportunity to use Über. (I've no idea if London Über supports wheelchair-accessible vehicles, but there is plenty of flexibility rather than planning in 3 hours when you could be through in 2h 15, done and dusted).
What's the über estimate for that trip though - could be fairly high. An alternative would be to use Kabbee for a good fixed price - you could then book it once you get to the arrivals lounge for say 30m or an hour ahead.