Can you change the perspective in POV-Ray, so that convergence between parallel lines does not look so steep?
E.g. change this angle (the convergence of the checkered floor into the distance) here
To an angle like this
I want it to seem like you're looking at something nearby, so with a smaller angle of convergence in parallel lines.
To illustrate it more: instead of a view like this
Use a view like this
Move the camera backwards and zoom in (by making the angle smaller):
You can go to the extreme by using an orthographic "camera":
The other extreme is the fish-eye lens.