I think Essence Reaver rush is really underrated on Jhin. Sure, it's less damage, but the CDR and little bit of mana regen really go a long way if you play Jhin more like a catcher than a strict ADC.
That said, you really don't want all AD items on Jhin. Yes, he multiplies AD, but he depends on the movement speed of his passive to kite and chase, which means you need attack speed.
I recommend rushing either Infinity Edge, Stormrazor, or Essence Reaver, grabbing Statikk Shiv, RFC, or Phantom Dancer, then getting an armor pen item. Jhin doesn't really want the game to go super late anyway, so making sure you have an even mix of crit, AD, AS, and armor pen gives you the most damage and movement speed possible.
I wonder if the buffs to Serrated Dirk might actually bring Lethality Lane Bully Jhin back.