After reading the thread, I believe your issue is the brass. More than likely, it was shot in a gun with a fairly liberal chamber and has been bulged out toward the back. I agree with Delfuego in that you need to isolate the issue by changing one thing at a time until you isolate the problem. You need to reload and shoot some basic commercial brass and see it the fail to fire problem goes away. The SB dies might help, but you don't know yet if it's needed or not. isolating the problem to the once fired LC brass would be the first step, not trying the SB dies. If you try commercial brass and it works, then you can look at the dimensions around the webbing of the commercial brass and compare it to the dimensions of an unsized LC brass and see it it's been bulged out. Hoser's suggestion with the marker will also show if the webbing area is bulged far out enough to not chamber even after resizing. Then, the SB dies may take care of the problem. Another choice is if the commercial brass works, but the LC brass is just too blown out, stop using the LC brass. Some military once fired just gets tore up depending on the gun it was shot out of. It may not be reusable.
Last thing I would check it to see if you actually NEED to crimp the cartridges. I have very little M1A experience, but I would work off the hypothesis that crimp isn't needed until I tested it and saw enough set-back for me to start crimping the rounds. This is pretty easy to test. Once you have found some brass that will fully chamber, make a round that is fully resized and the bullet seated to about 2.80", no primer or powder. Then load it in the gun from the mag like you normally would. Remove the round and measure the OAL and see if the bullet was set back into the case. Anything over 0.1" is probably too much and a very very small amount of crimp will stop the movement.