Well, I got the title transferred.
I went back the next day, waited only 40 minutes, and spoke to a different staffer. I had a photo of the engine # and VIN on the frame. Just like the previous day, she said that the engine # in the computer didn't match the one in the photo, nor was it the same is the VIN#. She asked if I might have copied the wrong number (transmission #?), or the wrong bike, and I said I was sure I had the engine number correct for that VIN.
Then she shrugged and processed the title transfer. I'm not sure what changed from myfirst visit, other than that I was more adamant that I had the engine number right. Anyways, what was refused on the first day, was granted on the second day.
There was no extra fee for being a month late filing for the transfer (after the sale), despite the "10 days" warning on the title itself.