Here I'm hollowing out the case. That was my largest diameter bit. I bought a router bit 2.5" tall, only to find out it's too large for my router. So, this is what I went with.
Yeah, it would have been nicer had I a larger bit, router bit or the like to use. I actually bought a nice 2.5" tall router bit for use in my router table, only to learn the shank was too big (1/2"). I didn't want to go out and spend more money on the project, so this worked. It was actually kind of fun...time consuming...but fun.
If at low speed and you hold it tight, that should work.