Not that I'm necessarily advocating this, but US intelligence has historically proven extremely adept at destabilizing regimes.

I'd imagine that mostly look like sowing internal discord within the CCP. The party already has a lot of corruption, so most likely many senior officials could be blackmailed and manipulated. The long-term goal would be to weaken the resolve and coherence of the CCP to the point that a non-violent democratic revolution could take place.