If you want a perfectly flat hole, you'll need a rim guided forstner. The CNC machine could also be used to cut this hole for you with a perfectly flat bottom. If someone is around they might be able to help you use it. You could also clean up any hole with a router.
With a normal forstner, you're going to see a pilot spur mark in the center. You might be able to grind the pilot tip off once you have drilled into your piece a little bit and then finish with that. If you grind before cutting some of the depth, then you'll risk skipping on the work piece.
I have a 1" normal forstner, but I'd not want to grind the spur. If you are okay with the spur mark, I could drop it by late next week.
- Tyler