In the CCTV world.

They use a CCTV monitor that shows the image plus the overscan. You seem to think a common TV would adjust but it does not so we have to shrink the image in some video processor. Frankly I think you should fit a different lens on the CCTV to pull back a little so you can use what you have.

The CCTV lens for the usual cameras are pretty cheap compared to displays and video processors.
Bob