The only answer I've come up for outside of Weyland who has cards like Contract Killer and Corporate Town for dealing with this, is to try overload a runners Film Critic. I've been playing Butcher Shop, which this card pretty much destroys. I've had some success by leaving enough agendas in archives to overload the film critic, enough to fill them up, one more to let things like Midseason Replacements trigger because they have to steal it but not enough to let them win the game. Since this came out you see a lot of people waiting until they have Film Critic and New Angeles City Hall up and keeping money to avoid tags. So put all your agendas in the bin as they come, rescue them with Jackson Howard when you need to but leave in enough to overload the critics and get your Midseasons off. Then if you don't have your kill cards in hand, you can kill the Critics, maybe some other resources too. If you're rich enough, you'll put so many tags on the runner that its either a race for them to clear the tags or you to get your kill cards.

Just don't try it by leaving NAPD Contract in the bin as the runner can opt not to pay the additional cost.