Thanks for the suggestions so far.
Circuit Writer pen is out.
Since what I am doing is basically a bunch of switchs, I am going with a 1 layer design. (I also didn't want to deal with tracers crossing over each other.) I am running off of a 12 position switch. (It took a while to find a strong enough DC switch paired to a relay with a coil that it would work with that would do enough for me.)
More details to follow. I am still waiting for my order from allied electronics to show up.
I built a proof of concept, but now it is time for a 1st generation working prototype.
I'll be posting more on this one. But I warn you, it isn't cheap. I have way too much into it now. Failure is NOT an option.

All because I wanted to play several light gun games without the hassle of switching jamma connectors.