Problem is the 3 independent amp "front ends". I don't know of one product, off the shelf to do this. If you're looking for off the shelf I'm thinking you'd need at least two loopers.
I'm doing something somewhat similar to this kind of thing with a px8 and a radial shotgun. The routing im using allows me to split the signal with the shotgun and utilize the insert loop of the px-8 so that two amps see the pedals in the first 6 loops and my third amp sees the pedals in the last two loops of the px-8. The compromise to your set up is that both voxes would need to use the same fuzz/distortion box to do this with just a px8. If you added a pedal switcher and or a commander I think you could do everything you want. But that's two loopers...
Could do this with a coule rjm effect gizmos and a midi controller of some nature as well.