I Too have a Randonee. Mine is between 15 + 20 years old. I used it on the pacific coast route 15 years ago, and save for wanting a bit lower gears on a couple hills, it did well. I has also served commute duty for it's whole life (8 miles ea way). I plan to use it for my trans Am next year. Only changes being the small ring (from 26 to 24 teeth AFTER the pacific coast), the shifters (STI's bit the dust a year ago after 15 years) now down tube, 2 rear rims - pot holes are NOT my freind
, and the stem -- to get the right fit, which is critical!!
The paint is faded, it looks well used (it is), but I see no reason it wont make it cross country.
If you are capable of bike maintenance (and if not you should learn before the transam), Bikes Direct has a bike that looks interesting for $800. Of course you will not be able to ride it first, but if you know what you want adequqtely it is an option. If I had to replace my randonee, I'd be considering it.