I don't understand why you don't just use Y-splitters.
First you need two of the following spec:
"Single male RCA to 2 female RCA Y-splitter"
Plug the male parts of these two Y splitters into the left and right audio outputs of your A1200.
Then with a regular paired RCA stereo cable take ONE lead from each of the Y-splitters attached to the Amiga's outputs and route them to your monitor: now you have stereo output to your monitor.
Then you need another Y-splitter (type of connector on single end is up to you, but the "double" end must have male RCA connectors).
Plug the male connectors of this Y splitter into the other two leads coming from each of the Y-splitters coming from Amiga's audio outputs. You are now mixing the stereo signal into a seperate mono one which you can route anywhere.
Total cost is about $10 at Radio Shack.
You can also get stereo RCA cables with "pass-throughs" at one end, so you can come up with some other similar solution. They are essentially Y-splitters with one (very) short lead and 1 very long lead. Might save you a couple of connectors compared to the explanation above.