When I've had this problem I use a magic marker to coat the round, let it dry well then slowly start closing the bolt until you feel resistance, extract and look for where the marker shows contact, there's you problem area. Make sure you have a clean chamber and throat and remove all oil and solvents so it won't make the marker ink run.
I had one of my M1 Garand's re-barreled, I requested the chamber be cut at the min specs for a tight chamber. I had purchased a LOT of the surplus ammo from the CMP some years ago when it was good stuff (sealed spam cans w/same lot#'s) and much cheaper then today, including the Greek HXP and come Lake City, every once in a while I'll have round from the surplus that the bolt won't close on, more the LC then the HXP. I always set those aside and check them when home with the marker trick and it's always the shoulder is just a tad farther ahead then MY chamber will allow and yet they will just pass the LE Wilson gauge. Yeah I've got a tight chamber, just what I asked for and wanted and I'm happy with it, the rifle is a shooter.
Be interested to hear where your binding, the shoulder, neck with bullet seated is too large (or bulged crimp?) or bullet contacting the lands. Give the marker trick a try and see what you get, it's quick, simple, reliable and repeatable.