Take the modi, tie a brick to it, and find the nearest body of water. You could just shovel mud into your ears and pay for privilege. All seriousness aside, you are describing a problem with the USB circuit of your Modi. DAC chips aren't USB compatible so they usually use a USB front end that handles the USB communication and outputs a bitstream to the DAC. Since you already had a working modi, we will assume it's not a driver issue.
Flat out, it sounds like your cable is bad, or the USB decoder in the modi is flaking out and you should get a new DAC or cable. If you're sensible you'll stop reading now.
If you're desperate read on.
1. Disable CPU power throttling/speedstep in the BIOS. This is a power saving function that changes the multiplier of the CPU dependant upon load, and it can cause problems with many USB devices. Usually along the lines of disconnects, pops and clicks etc, rarely the "unknown device".
2. If you're overclocking said CPU, stop that. Changing the FSB of the chip, also changes the PCI bus speed, which affects all devices plugged in. Since computer audio in particular is so timing dependant, having a clock out of spec (like your cpu FSB or pci speed) can spread havoc.
3. Ditch the Wyrd. Try another USB port, etc. See if the problem follows the modi, the wyrd, or the port.
4. If you have anything like an amp plugged into the modi, make sure it's power plug is on the same wall outlet as your PC. Even in brand new houses, the difference of ground potential between outlets even in the same room, can cause enough DC voltage to burn your finger tips. Think tongue on 9v battery on steroids. At the least it can cause ground loop hum, at worst it can burn out components, or cause electrical interference which will disconnect USB.
5. Try the modi on another PC and see if the problem persists. If it works normally then it may be your USB on the other PC. Cheapest easiest solution is add in a USB card and just use that.