What resolution cameras? Three or four cameras into a quad multi-viewer, then capture the combined quad signal using one HDMI capture card (BM mini recorder etc).
I regularly program from a desk, and didn’t use half of the random stuff the auto map used to patch.
I put a little bit of work in to create my own head file, now I simply patch as many of those as I need. No extra time on site (apart from the first time when I created the head file).
Try this first. Get rid of the computer and try something with (hopefully) next to no latency, I.e. hook the camera straight to the video wall processor. See what the lag is like. You might spend thousands only to find out the delay isn’t coming from your computer!