I have another idea, although this one is more for when the CCS is an equal opponent. When being chased by the CCS, it should be possible for them to catch you, with something to the effect of, "The CCS only pause to bind and gag the Liberal before throwing him in the back of the pickup truck!". There'd be a month gap where if the location of the CCS safehouse is known, you could rescue the member(who has taken hits to Heart and Intelligence while gaining Wisdom?). Miss the one-month period and a rescue will only find the Liberal's corpse(perhaps grabbable to take home for a respectful burial?) lying on the floor in a back room, starved, with country music blaring out of hidden speakers.
On a tangent, would is it currently possible for a corpse of a specific character to be found? Because when hostages die, they aren't just corpses. They still have the name attached. It'd probably be a bit harder to actually pick up the corpse, but I love flavor text, so that could be a thing even if you can't take home the corpse.
Anyways, miss the one month period, and the CCS release a 'confession' to the AM Radio station that gets major coverage(News item? Shift in opinion? How big?) of the 'crimes' committed by the Liberal Crime Squad(I'm thinking like marrying animals, using the flames of a US Flag to light joints, etc). Public perception of the LCS falls depending on how moderate/conservative the country is.