As for wiring the two humbuckers to one tone and one volume, stewmac and emg's websites have wiring diagrams for that. As far as using the push/pull for the overdrive, I think it would work. I think what you would do is wire up the pushed part like a normal tone with the cap to ground. Then on the pull (switch engaged) you could just have it wired like a normal tone also, but with the black ice to ground instead of the cap (like on the normal tone). I think with the two way switch, you would actually have to take the ground lug of the pull (switch engaged), run it into an on/on switch with one side going through the black ice to ground and the other through your other diode to ground. Others will probably correct me if I am wrong.
I guess one question I have is why you want black ice and a different diode? I could understand maybe one of those active onboard distortions and black ice to get different sounds, but if you use schottsky diodes, my understanding is that they can be a little lacking in the quality department soundwise (especially for lower output pickups).
I think what I suggest above would work, but if it doesn't, or if there's a better way, then I am sure someone will correct me. Hope it helps.