That 100 grain bullet is interesting. Playing with Quick Load in .223 brass, 6.3 grain of Little Gun, OAL = 2.20, 16" barrel, with a 7.5" carbine gas system it gives about 6,000 psi at the gas port for a 1086 fps bullet speed.
I don't have a clue if that will cycle a 5.56 with carbine gas system or not, but on my 300BO with 4.5" pistol gas system it takes almost 8,000 psi to cycle with LBO. With suppressor it will cycle down to 7,000 psi (as calculated by QL).
Ken H>