I had completely forgotten that I had a similar-ish issue with my DFR before. I don't think it will help you, but...
My DFR would frequently (not every time) go silent on a manual track change in foobar. I thought at first it was caused by a change of bit-depth but then noticed it could do it even changing to exactly the same bit-depth and sample rate. The DFR was still on, light on whatever colour it was on the previous track, and foobar still thought it was playing (visualisation was still going) but no sound out of the DFR. For me, restarting the new track usually got the sound back and obviously something was going on as the DFR's light would flicker and then go steady again when I did that.
However, the old laptop I was using had another issue and I replaced it with an HP 800 G2 MiniDesktop. I've not had a single problem since then, about two months now.
So, maybe it was just a Windows issue that would have been solved with a reinstall or USB driver reinstall, or maybe the laptop's USB ports had a problem.
The only things I can think of to try, if I had your issue (and apologies if you've already thought all of these) are: try a different USB port; make sure the USB hub isn't shared (although that's never been a problem for me, and mine is - the MiniDesktop only has one root hub); try different output modules in foobar, like WASAPI, ASIO - make sure they are all at default settings; allow applications to use exclusive mode.
The fact that yours can do it in the middle of a track makes me wonder if Windows is trying to play a sound and causing an effect similar to mine. If not, then it sounds more serious/difficult than my issue.
Finally, if it were me, I would be tempted to order another DFR from somewhere I could return it, and try a new one, just in case. Good luck