Question Stencil Buffering Problems

I've been trying to figure out how make a material that uses stencil buffering through use of either LWRP's Custom Renderer Features or Shader Graph.

My goal is to create a material that is double sided, with the front face pixels discarding any overlapping back face ones. I originally thought I could do this with alpha, but I realize now this doesn't actually discard the overlapping back face pixels because of the rendering order.

I notice that there's a whole stencil option in the CustomRenderer > Render Features menu, but I can't seem to yield any results that way (probably because I don't know what any of the options mean, I'm not super knowledgeable about the standard procedure for this kind of effect :/ ). Would this be possible through existing or even custom nodes? Or would that be pushing it for Shader Graph's current functionality.

Thanks for reading!