I think from here on out, I am not going to worry about getting every piece inside the action clean as a whistle. Just clean the barrel, chamber, recess, and wipe off the carrier, bolt and firing pin, lube, put back together, call it a day.
That's all that is needed.
I just shoot the barrel full of foaming bore cleaner, walk away for a 1/2 hour, then run a few patches through. The stuff usually removes or at least loosens the gunk in the barrel extension.
Like you do it- bolt carrier just needs to be wiped down- innards are self-cleaning.
Hose the bolt carrier and lower with CLP. Dripping wet is about right.