I've never reamed a chamber before, but I've seen the specs & it appears as though the specs include the neck portion of the chamber. I may be wrong, but I suspect Shilen may use a chamber reamer for the 22-250 that reams the neck & chamber at the same time. Mine was chambered with a .250" neck diameter. They also have a slightly looser neck of .255" available. I checked the neck portion of my new barrel before I installed it on my action. It measured within .0001" of their .250" specs . So far I haven't had to resize my brass at all. Since it only expands .001" on a side, the spring back is perfect for my needs. Shooting a single shot rifle, I have no concerns about what tension I have on the bullet other than consistency. The tension I've measured using pin gauges tells me it's within .0005" from one case to another.
I've read that competition bench rest shooters often get 100 shots plus from each case.
To date, I've done no resizing at all on my case necks & they hold a bullet just fine. If I push hard enough with my thumb & first finger together tightly, I can make it move slightly, so I suspect the tension is okay.
I still shoot tight neck rifles and my 22cal have tight neck .242 which is pretty standard and you do have to turn necks.
Hammonds' Rifles - Chambering
My 6ppc has .262 neck.
I understand what your doing and it's easy to do. Only problem you have, if you need more brass you may not get it with same thickness.