This is really not an issue with Foobar or HRT per se. All the clicking and whatnot is caused by having a less than great USB host on your computer. I have several DACs that I simply cannot get to work on my laptop but all of them work flawlessly on my desktop. Regardless of software used for playback. Messing around with WASAPI settings can relieve the problem somewhat and changing the DAC to a different USB port may also help (most computers have more than one USB host).
One suggestion that I got from HRT was to buy a separate powered USB hub and connect the DAC to this. I have not tried this with my laptop yet though as I simply gave up and started using the DAC with my desktop where it works without a glitch.
So most likely if you are having these issues with the HRT you will/would have similar issues with another DAC from another manufacturer. Obviously there might be a DAC out there that would work for you but finding it might be tough
The recommendation I got from HRT was also to set the buffer time as low as possible (50ms or lower). This did have some affect on my laptop, just like chaging the USB port did but nothing I tried there was a 100% fix.
Another option would be to stop using USB and use a s/pdif output on your soundcard to feed your DAC. I understand this approach is less prone to problems than using USB.