I had a similar Savage in 25-06 that I neck sized for with a Lee Collet die. After a couple times, it would give me resistance. I found that the cases that chambered with resistance hit a different spot than the ones that chambered easily. Even if a batch was treated the same, some cases would chamber easier than others.
My solution was to full length size every time, and set the rifle's headspace to match the dies. I keep a shell holder specific to the rifle, and set the die to touch the shell holder (with no case.) Then set the rifles headspace with the sized case.
I think that particular action is now a 338 Win mag. I have 3 actions, and barrels for 243, 270, 25-06, 7mm mag, 300 mag, and 458 Mag.
I doubt that your case length is too long if you are only neck sizing.
Does your fired, un sized case chamber easily? What about a neck sized case, no bullet. When you get resistance, trim. That should prove or disprove case length. seat a bullet, see if it changes.