What about scoring a Hostile Takeover 1 turn. Tutor it up with Fast Track let them steal Government Takeover and either Punitive Counterstrike their face, or get them tagged through Shadow or Data Raven or Hard-Hitting News or SEA Source or whatever other means. Then Exchange of Information it away from them, swapping Hostile Takeover or any other 3/1. Jam another Hostile Takeover, and ask why even bother in the first place. Some Hive, Vanilla, Enigma, or Mother Goddess to keep them from getting anything from R&D or HQ too early.

If they do heavy tagging might also just mean a nice BOOM! opportunity. A Ghost Branch would help facilitate this.