I need a peel and stick material that I can laser through to get the waste away and the cover off of the sticky. Turned over and stuck down, the top cover now comes off leaving the stencil behind.

Sounds like a three layer tape.... lasered upside-down.

Top is the backer and comes off last, middle is the stencil with the sticky, bottom is the protective layer.

Maybe like vinyl sign material?

Sorry, don't know how else to 'splain it.

Anyone know of such a beast?

Mitch