My concern came when I made a couple of measurements, one of a loaded round and one of a fired case (did not take "spring back" into account). According to those I felt .277 was too big but, once I checked with the 'smith that chambered my barrel, I am OK with the .277 neck on my reamer. I should be able to chamber either a bolt gun (like mine) or a gas gun if I should decide to.
Thanks for all the input.
Edit: I wasn't even concerned at all until a friend wanted to borrow the reamer. I just didn't want him to F up a barrel.