I do my clearinghouse nonsense the beginning of the year as part of my yearly driver review records. I got my NYHUT stickers months ago. I'm amazed you actually got them on the phone. You should play the lottery!
LOL, after years of playing games with the various entities, I find out when they start work (in theory). So, you start at 8:30, I give it 30 minutes or so, enough time to get their coffee and get at their desk, then call. Usually works, but not always..