I also use EqualizerAPO (great isn't it?), some years ago I was in your position so also been looking for a cheap way to do this but came up with nothing. Here are the only options I found;
1.) Professional hdmi capture card/devices, there are several models, they all capture 1080p video as well as 6 channel LPCM, they are all priced in the high-thousands. I did some research anyway and found there would be only minimal delay (likely unnoticeable for most games) if you have a fast PC.
2.) Sound card with spdif digital input (and a hdmi->spdif box). Cheap, minimal delay with a decent sound card but only supports stereo input.
3.)Buy a DAC, decode to analogue, input 6 channel analogue into PC via cheap soundcard. I did try this, but it added too much delay for me, and the sound quality wasn't great but I used a very cheap DAC I borrowed.
This probably won't be helpful but my eventual solution was the ditch the consoles altogether and stick to PC games only. That was a few years ago, I haven't missed consoles one bit.
1.) Professional hdmi capture card/devices, there are several models, they all capture 1080p video as well as 6 channel LPCM, they are all priced in the high-thousands. I did some research anyway and found there would be only minimal delay (likely unnoticeable for most games) if you have a fast PC.
2.) Sound card with spdif digital input (and a hdmi->spdif box). Cheap, minimal delay with a decent sound card but only supports stereo input.
3.)Buy a DAC, decode to analogue, input 6 channel analogue into PC via cheap soundcard. I did try this, but it added too much delay for me, and the sound quality wasn't great but I used a very cheap DAC I borrowed.
This probably won't be helpful but my eventual solution was the ditch the consoles altogether and stick to PC games only. That was a few years ago, I haven't missed consoles one bit.