I'm glad you figured out what the problem was.
I don't know if the Monarchy would work, it might. Do you have a laptop? If you do, you can use the USB input on the Chime. There are a ton of variables with Windows and a laptop, and a few for Mac, that effect the sound, so you might want to do some research. Windows XP resamples digital audio, so you would need to use Foobar and change some settings to get it work optimally. Since you're typing on a computer now, you would just need a usb cable and some hard drive space....
If you don't want to put a computer near your hi fi, or if it isn't possible, you could look into getting a Squeezebox, rip CD's onto your hard drive, and stream them to the Chime with the SPDIF output of the Squeezebox.
As for changing the digital output on the Rega, I don't know if that's possible. A cheap solution would be to pick up an Oppo, or sell the Rega and get something else for a transport. The Pioneer PD65 makes a fantastic transport, and is usually around $300 used, which is probably less than what your Planet 2000 would fetch. If you're interested in SACD at all (which I think is a fantastic format), you could look into getting a Maranz SA8001, which is a dedicated CD/SACD player, and use that as a transport for the Chime. It retails at $999, but can be had new for $650, and even less used. I'm using a Marantz SA8260 as a transport right now, I haven't A/B'd it against my laptop yet, but it sounds pretty good to me so far.
I'm sorry that your new toy won't play in your current setup. Hopefully you'll find a way to get it up and running.
-Aaron.