Why just bypass it, why not delete it. I did my emmisions test with and without the air pump, made no difference. The air pump / smog pump is just an example of 1980's emmisions technology. The air pump has nothing to do with your EGR, now that you want to keep if you have to pass emmisions. The air pump pushes air into the cats and into the exaust ports in the head. Who cares how it works, it's junk.
The way I deleted it is two bolts the pump comes out, remove the vaccume lines and plug them, then two 1/2" bolts on the back of the head removed, cut off the pipes and bolt the flanges on backwards to block the back of the head.