I have a Synology NAS running HA in Docker, and I was having a hard time making Home Assistant see the Zigbee USB whatever radio thingie.
I found this solution:
“DSM docker UI application does not have option to set “device”.” - There’s a workaround
Export the docker container configuration, edit it to add a section referencing the USB device you want passed through (/dev/ttyUSB0, ttyACM0, whatever) and re-import it.
It worked for me, see the link above for more details.
(note, this won’t help with missing USB drivers in DSM 7. I’m lucky enough to be on DSM 6 still)