The question you should be asking yourself is how quick of a hook for Drew Brees?
The guy is being held together by tape and glue. You need only hit him one time hard in the chest with your shoulder, which you are allowed to do. Make him move around. Make him fall over in several plays aftermath. etc.
I am not saying its right or you are targeting him or anything, but Brees is their weakness right now, and Taysom Hill is not a real QB. Its the only way to win this game, its what the Chiefs tried to do, and it at least worked in forcing several wildly erratic throws...the type that can be pick 6's.
The Chiefs even went so far as to take a roughing the passer penalty or two for late hits just to test him, which I thought was too far and Williams esque, but its basically what you do to win this game. Just do it legally within the rules of the game and don't disgrace yourself hitting a legend late. Hit him between the whistles or even just make him fall over.
He doesn't have many impacts left in his body right now.