How exactly will you have the GPU taking air from outside? Mount it right against the wall? Where will the motherboard go if the GPU is against a surface? That won't work especially if the CPU fan will also be against a surface whether it is the same plane or not.
When the PSU is under load, it will exhaust warmer air. This is just a fact. Leave it as intended, as an external exhaust.
Good luck with the case. Post pics FOR SURE as I am very interested.
That build will run so cool, you will have ZERO heat problems. You have no need for a weird case and honestly, it might makes temps worse. Modern cases are designed like they are for a reason.