... I'd stick with a good Audio Interface for USB to DAW.
Which one?
I'm someone who believes the convertor and preamps make a lot of difference in a recording, thus curious on your opinion on the interface. That Yamaha mixer you have does have nice preamps in my experience, and I wouldn't mind using them to record with, but eventually the signal needs to go to digital.
So which interface do you use?
Why would you not get a USB version of that mixer. The preamps are nice, so maybe the convertors? I'm curious.