Very great visual and proof of concept!
This is what I was thinking to do, since I know the grid infill option Cura has works well, and although it doesnt stop extruding over the intersections, it should be more than sufficient. I am however, not an expert at the program, so I may need some guidance as how to remove only the necessary holes, then add support structure in place whilst maintaining the precision of the part. I can easily modify the part in Inventor, but again, I need to maintain the position of the grids.