I have found a number of rings in dryers over the years.
One was a diamond ring the lady lost over a year ago. She thought it was lost forever and turned it into the insurance company and everything.
I don't think you will find it any more in that washer, but you can hope it made it from the washer to the dryer.
I would take the dryer apart and look for it before I looked in the washer.
Good luck and be sure to let us know if you find it or not.