Masking Occluded parts of mesh to be invisible?

Essentially, I have an actor that I have disabled depth testing on, so it always renders above every other mesh. The problem is, though, is that the back of the mesh also renders on top of itself, making it look incorrect. I made a little mockup in Paint to illustrate what I’m talking about.

My thinking is that if there’s a Post Processing material that masks out only what the camera can see, the back edges will be invisible and thus won’t render above the mesh.