Could I run a USB from my Apple TV to my DAC rather than to my TV?
No.. in fact the 4K model does not have a USB port. And earlier models it is used for Apple service and diagnostics.
i.e. it has no user functionality whatsoever. On the Gen1 you could boot from USB. But no sound out.
What model Apple TV do you own. Sorry but even if it has USB it is useless to you.
Did you mean HDMI? You don't have USB running to your TV from Apple TV.. you have HDMI.
HDMI can output digital audio for sure. But you need an Amp or DAC with HDMI input not USB.
I have actually ordered a USB DAC mainly because of cheaper cost. I failed to consider the cost and inconvenience of a 5 meter cable.
Cancel the order if possible. 5M is limit of USB signal without special adapters and it is thick and ugly. Plus for digital sound I think you will get other issues.
I figure you must be audiophile which I am long past since old age and hearing diminish horribly with age. But for computer sound you really don't need a DAC of that value.
Explain a bit more why you need the expensive DAC and why not use Express with Optical or 3.5mm analogue stereo?
What input on the amp were you plugging into? How many channels is it?
If you are really stuck with USB look at raspberry pi .. they are able to do all kinds of useful stuff.
just google
raspberry pi dac usb