Buy a 12" 22 caliber bore brush, it has a standard bore brush with an 11" twisted wire handle. You will get a case neck stuck in the chamber at least once. Gently push the brush into the chamber with the bolt assembly locked back, pull brush back out, and case neck is on the brush.
I use mid-range loads in my AR15 rifles. I can get an easy 3 reloads from a case. When I reload the fourth time, I will get 50% case neck splits in the brass and almost every neck stays in the chamber. If I shoot the 4th reload in my bolt gun everything is good. Case may split, but the whole case comes out. If the case didn't split, I throw it away anyway because the case will separate in the sizing die -- that is just really special.
Some reloaders will anneal the case necks, but that never worked for me. I got lousy brass, burned fingers, collapsed cases or split neck cases regardless. I have access to once fired brass from several ranges, and just gave up on worrying about case life or neck splits.