Neat idea.
You can do this to any router with an MDF sub base. Laminated with plastic laminate would really help as well. I use clear lucite for this type of shop made sub base alot. I get it at the local plastics shop in small scraps of all thickness'. It would be a really easy set-up on a Porter Cable 690. Seeing as they're seeing less use in my shop these days, one could easily be dedicated for this use.
Eagle America sells a great cutter for this type of router set-up. I build one with a slightly different shaped (shaped like a home plate), & larger, subase for trimming hardwoood edges flush on countertops. This does not require a large, or a plunging, router so it could be any router you can fit the base to.