I think you're overthinking this. On the original Lusid plans, they just have you cut the back down to a 45 degree angle, basically anything equal to or greater than the slope of the CP is fine. On the front you don't have to trim anything - a regular 90 degree angle is fine. Doing it this way makes the CP top rest on the front edge of the front of the CP box, the back edge of the back of the CP box, and squarely on the sloped sides of the box.
Since the sides of the CP box are fitted OVER the front/back, hiding them, the corners are not visible when looking from the side. So when you look at it with the CP top on from the front you just see the front edge meeting the CP top, and looking from the left or right, you just see the CP side, which hides the corners anyway. The only time you would see that the front and back are not exactly flush with the top, is if you have the top off and are looking at it from the inside, and I can live with that.
I modified the diagram to try to show what I mean. If my attempt at the description and sweet mspaint skills don't get the idea across, I can take some photos of my CP to show what I mean.