Here's what I would do:
Firstly, do you have a laptop, or a desktop? Laptops are inherently chock-a-block full of noise and simply moving your DAC farther away from your computer and other power sources will alleviate the non-ticking sounds you mentioned.
I've had this problem before with other devices, and I hate to say it, but it took me a while to troubleshoot every time I ran into it. The bottom line is that you need to spend a lot of time trying different drivers and uninstalling and reinstalling both the DAC and the USB ports. The first thing I would do is unplug the DAC, eradicate all associated software, and uninstall all of your USB ports. Start the computer up with as little running as possible. This includes antivirus...turn that stuff off, turn off all memory-heavy applications, period, and do not run any video games.
Think about it, the fact that it only happens when it's playing means that your computer is either sending it a bad signal or it's taking that signal and processing it incorrectly. Are you using upsampling or a weird bitrate in foobar? Turn all that crap off and use the default settings. Go into windows 7's sound panel and force everything to run at 16-bit and 44.1 khz. (Windows 7 by default uses 48 khz....stupid!!)...you may have to dig a while to find those settings, but they are in there.
Still not working? Go into the BIOS, disable the onboard sound (I always disable this on my desktops and it works out extremely well). Start up the computer and delete all sound-associated software, especially the onboard sound software, uninstall everything, restart, install necessary drivers, etc.
And when you're prompted to auto-install things, go for it. If you can get the windows universal drivers to work rather than the proprietary drivers it can either help you or hurt you, but it sounds to me like at this point things can't get any worse.