I just emailed the guy I submitted through to see my estimated status.. He estimates if you sent it off near Jan 1 it will be near 8 months to get it back. Then the COA is most likely back logged as well from the 60 days to longer as well. Maybe 10-11 months round trip if you fire off a Coa right after you got your 333. -Cody
COA's don't take that long if you are not asking for anything out of the box and also if it is not in Class B.
I've got 5 in "ATC Facility Coordination" at the moment. One of the oldest is for a very basic 1 mile radius at the edge of a class delta which has been cooking for well over 90 days.