UPDATE
Hello All,
I decided to contact Omega aftersales to find out where to send the watch. I shipped the watch from Ohio to Omega's factory in Bienne, Switzerland on 12/27. I was so worried about it getting there. I was fully aware that the service would be at my cost, since the watch had no warranty. The watch arrived in Bienne on 1/3/2007. I contacted them about a month later as I had heard nothing. After some emails back and forth I was contacted yesterday with an email that said my watch would be returned by the end of this month. Omega fixed the watch for no cost, not even the shipping back to the US.
I am so impressed with their service! They also attached a 4 page pdf file describing what services were performed on the watch. The watch was given a full sevice and the case/bracelet reconditioned. The watch was then fully tested to specs (which I would suspect to be COSC), before being shipped out. I will be an Omega customer for life!!