I can't find a circuit online but I would check the LT supply to the tuner first. Then check the voltages on the transistors in the IF strip if there are any lockfit transistors they can be a source of trouble.
This is assuming it hasn't got an MC1327 or similar chip in the If circuits they were a very common problem on the Decca portables which are a similar age. The chip would fail causing blank raster and sometimes strange radio breakthrough I think on the Decca there were two chips in the IF one or both could fail causing problems.
I can't remember if the GEC uses all transistors or not I didn't see many when they were current....
Rich.