There's a VC10 at Duxford, belonging to the Duxford Aviation Society, which is really convenient from Cambridge, only just down the road.
They do open some of their airliners for tours, but from memory, it's only one or two at a time, and I don't know if the VC10 is one they open anyway.
The other option I know of is Brooklands but it's not very convenient from Cambridge and I seem to recall it's in VIP fit. Sultan of Oman?