Hope I’m not repeating something already said. Here’s a suggestion, not sure whether it works for you:
I’m usong RME sound cards for a long time. A UCX for example has 8 inputs and 8 outputs (2 of these generally used for the monitors, 2 others for headphones)
Thebgreat thing is, you may connect 8 momo sources/4 stereo, and you can in the Totalmix software directly output them to any output with no latency (probably a millisecond or so).
You may record that input in you DAW at the same time, with monitoring OFF if you like.
You may also send tracks from you DAW to the outputs connected to the Octotrack inputs…
So depending how many sources you have, such a solution could work. Othe companies sound card may work as well, I’m only advising what I know from experience. Added bonus is, you can use it even without the computer, and it is also class comploant for the iPad etc…