You know, you've never said just how far the case goes into the chamber before it stops. Won't even start? Will go almost all the way, but bolt won't drop?
You did say if you cut the neck off, the round would chamber, so I guess it will at least partly enter.
I beleive you said that you trimmed the necks -- their length -- and that didn't help. You didn't say if it changed things...what happens if you cut half the neck off?
You also said that new brass would chamber.
What happens if you take the expander plug off the FL die decapping rod, so the neck is real tight, will it enter now? I believe your existing dies are of this form? That's just an experiment -- It could be that the expander plug is just making the neck too fat.
If you take new brass, take out the decapping rod, and run it through the die, is the neck portion of the die closing down the neck? It should.
So, for example -- Tight chamber (but still SAMMI and not too tight for new brass to enter) -- thick-necked cases, not enough initial neck sizing, and/or a too-fat expander plug, that would do it.