I use a small base die "once" with range pickup brass and when I buy bulk once fired brass. The small base die reduces the cases back to minimum dimensions after being fired in another chamber.
Any cases fired in my chamber are sized with a standard die. Most AR-15 chambers are slightly larger than a standard .223 chamber and a standard resizing die should work.
"BUT" nothing is written in stone and chambers and dies vary in size. Meaning if the resizing die does not reduce the case diameter enough and bump the shoulder back enough it can cause problems.
Not adjusting the die down far enough can cause problems, meaning 1/8 to 1/4 of a turn "more" after contact with the shell holder with press cam over. This amount varies depending on chamber and die dimensions.
Below measuring a "FIRED" case in my Hornady cartridge case headspace gauge. Then I adjust the die for .003 shoulder bump, and measuring this way before and after sizing ensures the case shoulder is shorter than the chamber.
Below case gauges vary in diameter, as you can see the reversed cases dropped further into the Wilson and Dillon case gauges. And the red J.P. Enterprise gauge is cut with a finish chamber reamer to minimum chamber dimensions and its diameter is smaller.
I drop all my resized cases and loaded ammunition into the J.P. Enterprise gauge. This check ensures the case body has been reduced enough in diameter. And also checks if the crimp is bulging around the case mouth. Some of you may think using two gauges might be overkill, but I'm loading for three AR15 and all ammunition chambers and ejects without any problem.
Bottom line, my guesses are either the case has not been sized enough or the case mouth is bulging from over crimping. And remember the case will spring back slightly after sizing. Meaning range pickup brass after being full length resized might still not fit in your chamber. And why I use a small base die on cases not fired in my rifle. And a small base die will reduce the case diameter more than a standard die and also push the shoulder back more.
And again, chambers and dies vary in size and a resizing die can over or under resize your cases. Example, I have a standard Lee .223 die that will size the cases smaller than my RCBS small base die.