Don't Fear the Levy

Blackmail Val becomes much better with Rumor Mill, so the corp can't use Caprice or Ash to stop you. You also have Infiltration to check for never advance / traps, and Clot + Sacrificial Construct to make sure that the corp must leave their agendas in a remote "overnight" so you can steal them.

If you can't find blackmail or your recursion, use Duggar's. It doesn't matter if you have to throw away a bunch of cards along the way, since you have two Levies to get them back.

When you want to go on the offensive, Duggars + Faust will get you into HQ to resolve Fear the Masses, as long as you have an extra click (from Amped Up or Askhara, whose drawbacks are negated by other cards in the deck). Shrike and Yog deal with whatever Faust can't. Rumor Mill can prevent Jackson from saving the cards in archives before you go in and steal them.