I custom ordered this from Loop Master.
It's more than what you're requiring, but does it.
It's got the ABY inputs on there to do exactly what you're describing.
My Hartke Bass Attack has two outputs, so i'm running one signal into the looper section that will have some fuzzes and more. (input A)
I'm running the second output into an octave pedal then into input B.
So when I hit the A+B switch my fuzzes will run parallel with the clean octave down.
Or using the A/B switch, I can toggle between fuzz and octave.
And lots of other options too which I won't get into right now.
I found that Brian from Loop Master will work with you on many many combinations of switchers and loopers. Really cool guy.
You can discuss with him any of your ideas. But of course, the LS-2 might be cheaper and easier to get. (wait time for Loop Master is pretty long).