Ron:
Your only problem is if the barrel contour will allow you enough room to set the chamber back and still have room ahead of the chamber for a few more threads. You're only talking .360? I don't do the work myself but I've had lots of chambers set back to get what I was playing with. Never played with an Axis but lots on 10 Series Savage rifles. Sounds to me like you've already got a pretty good idea of what you can do and what to expect.
Set it back, add a few more threads, single feed and see how it works for you. Worst thing that can happen is you'll end up needing another barrel. At least that way you'll know if it will work or not. You'll never know till you try. Go for it and keep us posted. Sounds like a FUN project. Next you'll be wanting a 20 VT. Mikie likes the idea!