I've used a sled or baseboard to put small pieces through p/t or drum sander, also a mini self-contained router sled: make a base, add side rails screwed to the outer ends under the base. Pic below with luck..
D/s tape or hot glue the pieces to a flat surface and skim them with the router. I've made 2mm veneers with that. With a couple of different-height side rail sets it covers thicknessing a range of things. With pieces that size you could do several at once.
One surface I use the mini sled on is laminate-covered kitchen worktop, hot glue holds things find and pops off wood & surface no problems. If any bits do get left they come off easily with painters panel wipe (also called pre-paint and similar - excellent general cleaner & degreaser and remover of tape leftovers).
With a bowl cutter the surface is good, free of plough lines.