I talked to Canon today. When I put the serial number into the website, they said my 1D3 baby was unsupported. They gave a toll free number so I called. It was the Canon Loyalty Program number. They offered me $60 off the prices of new and refurbished cameras because I have a 1D3 and they want me to be loyal. I got prices for 5D3, 5D4, 1DX, but there was no 1DX2 available.
They transferred me to the repair techs and they confirmed that they won't touch my 1D3.
I put out a note in a local photog group and they pointed me to an independent shop about an hour from here. I'll take it up there in the next few days to have them give me an estimate.