Corner Pin / Mesh Distort for Nested Artboards

I was working on a proof of concept showcasing some icon animations, but set up as a 6-sided die. I figured out the rigging of the die in perspective, but quickly realized I cannot display a nested artboard's content on the faces. If there was some way to rig the corners of a nested artboard with some form of corner pin constraint, that would solve it! Feels like it could be similar to the way the Mesh deforms work with raster graphics, but I'm hoping there's a simpler solution.