Well I finally have got this problem resolved after nearly 6 months :(
The dealer (Not Lexus) I bought the car off have tried their best and finally found a solution.
Having fitted a new radio and 2 new rear screens, the problem was narrowed down to the wiring between the rear screen and the radio, which meant the roof lining would have to come out to access it.
To avoid this they have installed a DAB motion interface. See here http://www.dabmotion.co.uk/
This involved a small discreet antenna on the front screen which feeds a small box. This receives the DAB signal and transmits it on an FM band, so now one of my FM presets is for DAB radio, and I can get dozens of channels perfectly clearly.
I would recommend it.
Think it cost my dealer £400 installed