IKEA Billy door pull drill guide

The IKEA Billy bookcase 203.238.05 comes with a wooden "knob" to open the doors. I found this neither ergonomic nor aesthetically pleasing, so I wanted to replace it with a brushed satin drawer pull. The drawer pull I'm using is 3" (76mm) on center) for the screws. This drill guide should locate off of the pre-drilled hole for centering, and provide properly spaced holes for the new handle.

This piece is relatively thick to help keep the drill bit square with the door. The guide pin is