So, you have no explanation for the origin of your proposed ‘intelligence’. I hope you understand that this leaves a huge hole in your explanation, and renders your explanation scientifically unsatisfactory.
Natural selection is definitely not random. Put simply, natural selection can be expressed as “whoever has more grandchildren wins”. More grandchildren means more copies of those genes in future generations. That’s all. No need for guidance; it works like compound interest. If there is guidance, then we are talking about artificial selection, not natural selection.