I would have liked to see the finished object, as I am sure you would have too. It is a very nice idea.
It always scares me to rout an object that you can not see the cut.
I assume you were cutting this one up side down? is that right.
Question: Was this in multiple cuts or one run?
A while back, I made a high chair for my great grand daughter and when I made the tray. I cut it with a hand held router.
I used the uncut portion to balance the router on until I got too close to the edge, then I clamped a scrap piece next to the uncut side and used it to balance the router.
I believe I posted pictures of it before, but I'll try to find them.
Sorry, it says the pictures are too big, I'll have to get Sandra to down size them or something.
Unless one of you guys knows how to do this.
When the enemy is in range, so are you.