I haven't received the reamer yet, but it is a floating pilot.

Coincidentally, I have a set of .22 pilots from barreling a 22-250. I'll have to get them out and see if there's one there that's big enough!!

Thanks, I hadn't considered reaming it in one pass.

I did do some googling, but sometimes there is just too much info to get it narrowed down to something specific.