Another investigator in Alessandra Zorzis team with access to String of Curses can kill this guy with a single action after Alessandra Zorzi parlayed to add 1 doom to him. Depending on the doom threshold you could even wait a few turns to gain more than 1 resource. Remember that he gains only 1 doom per round from her parleys.

She can't parley with him, so she can't use this strategy herself to get rid of him. I think this is very helpful so she doesn't need to add non-parley cards to her deck just to deal with him.

Alternatively Handcuffing him is also very helpful to prevent him from coming again in the same scenario if she cycles her deck. Another investigator could even Power Word him after that because his stats are better than the average enemy (2/ 2/ 2).

Zamacona is another enemy weakness, and like most, he is a much bigger problem in solo than multiplayer. There's a lot of supercheap technology that deals with him: handcuffs and spectral razor come to mind. Or stir the pot targeting another enemy. With mind wipe, a friendly mystic can make him extremely vulnerable to the countess’s trickery.

Elusive and "Spawn - Nearest empty location" can be a great aid (in case you want him to fall off a train) but if you’re only dealing one damage per attack, he’s going to stick around forever. The pitchfork, a beat cop(2), or drain essence (from someone else in the party) can deal with the Z-lister without having to chase him down even more.

This enemy spawn in another location and it ran away after you attack him. Getting rid of it seems like a lot of work. However, rogue got a card that deal with enemy in any location, Damning Testimony. With expose upgrade, you can just discad him with investigation action from the other location. You can even use Backpack to find it. I think it's the fastest way to deal with him. (Some exp required)

P.S. Backpack use body slot which is taken by Fine Clothes, so personally I use Friends in Low Places (named item and illicit) to find it.