I would be concerned with streaming audio over such a long distance, even with an active cable that has a repeater in it. Maybe just audiophilia nervosa but that seems like something that long might give you dropouts or exacerbate jitter, or just having the computer not recognize the DAC except by replugging it. Keep in mind that the USB audio signal is more of a stream and not in packets like ethernet.
If no other solution works (there must be other options?) then I would suggest moving the DAC close to the computer and then using balanced/XLR analog audio connection to run the 6 meters. I’m not sure of what those balanced outputs are on the DAC, so that may require single-ended to balanced conversion (get a used Henry Engineering matchbox) or a replacement of the DAC with one that has true balanced outputs.
Another solution would be to get a streamer and place it near the DAC, then use ethernet for the 6 meters. That’s probably the best investment in terms of not being jury rigged and also maxing sound quality.
Ordinarily I am not one who believes in digital cable voodoo, but 6 meters for a USB run is long. Even with an active cable/repeater - I have issues just running a USB cable for a touchscreen at that distance. Recipe for frustration...