I hope it works out! Laser etchers are great for stencils (I use them a lot for spray paint). They work best when cutting thick cardstock or thin cardboard which happens to be a far superior stencil material to the thin paper I used to use when I had to cut them by hand. It basically makes a superior stencil while also being way easier and faster than cutting (and glueing) all the finicky little details.

I think the downside to the method you're thinking of (assuming I understand it and you're not talking about a mimeograph stencil) is that you'd have to design it around avoiding islands, as with single layer spray paint stencils. Not a deal breaker by any means, but also perhaps not quite as detailed as the mimeograph paper could do.

I really like the idea of mixing these old and new techs so I'd love to hear about any progress you make