Voicemeeter rocks! The biggest issue with it is it takes some audio routing knowledge. I use the big guy every day for live broadcasts.
With that, you are at a cross roads. All OBS or stream labs needs is 1 feed. If your goal is to take the live service and feed that audio, a simple audio usb codec is all you need. No VM (potato or otherwise) You can run everything though the analog board you have now.
Voicemeeter, for me at least, is perfect for routing audio within your computer. Skype to OBS that type of thing. Great for giving conferencing platforms a mix minus. (Live mix, minus themselves, is sent back) If you incorporate video calling into your services then lean on VM.
As a networking guy you will love the VBAN option on VM. It is essentially AOIP without spending 6k on a fancy Axia board and system! If you have questions send me a message, I love audio problems. Been solving them for years now.