Your cheapest way to get the audio in to the PC would be Dante Virtual Soundcard
There are lots of multichannel professional audio interfaces on the market, remote control is more problematic.
If you can cope with 10 output outputs
USB 2.0 Audio Interface With USB C connector, ESS Sabre32 Ultra DAC technology, 24 Bit / 44.1 - 192 kHz, Precise level meters for all analogue inputs/outputs with high-resolution OLED display, 2 Microphone / line / Hi-Z inputs via XLR/jack combo...
www.thomann.de
Or if you need more then
USB 2.0 Audio Interface, AD Converter and Standalone Mixer 72 Channels, Supported sample rate: 44.1, 48, 88.2, 96, 176.4, 192 kHz, 32-bit floating point format, 24 Line outputs 3 x SUB D-25 and 6 x 12-pin phoenix, 3 x ADAT in/out, Wordclock in/out,...
www.thomann.de
Then you would need to control the volume mixer on it using a web browser on an iPad or similar.
There isn't really such a thing as a high quality 12 to 16 channel computer connectable DAC with a volume control.
Personally I wouldn't trust doing the volume control on the PC running the EQ.