Well, I have a few thoughts. I am by no means an expert, so anyone can feel free to correct me. The rear view mirror is from a later 600, and can't be from circa 1962.
...the wheels look to be period correct Campagnolo, except the width might be wrong.
And one of the most important clues - if this is supposed to be a genuine "nurburgring" model from around 62-63, then the doors should be suicide type, not the later rear opening ones.
BTW, I have never heard of the "Stradale" designation you mention for these cars. It does not appear in any book I have ever read.