I like your idea. And doing it only 2 or 3 layers in height shouldn't be out of reach for most FDM printers while adding significant strength I'd imagine. But

I like your idea. And doing it only 2 or 3 layers in height shouldn't be out of reach for most FDM printers while adding significant strength I'd imagine. But "I'd imagine" and "real world execution" are very different things!