I was as right as I can be in my first post, by which I mean I have found the plane in Tony Buttlers BSP Jet Bombers, the photographs in there appear to be of this very model, but from different angles and the text states how it is 'probably' an early version of the BAC 589 ( not 583) before the intakes were redesigned, they ended up looking similar to those of todays Tornado.
I guess the 'probably' is because at this time BAC were proposing various VG projects numbered in the 580-590 range and it is now impossible to tell exactly which one it is.
You could say that all of these were hypothetical TSR 2 type designs, but they did have project numbers of their own.