In a small bowl, combine the shallot, fresno chile, and red wine vinegar. Set aside. Cut country ham into 1-inch cubes.
In a food processor, add ham and pulse in one-to-two second intervals until chopped and consistently fluffed and flaky. Transfer ham to the bowl of a stand mixer fitted with paddle attachment. Add the mayonnaise, pepper-shallot-vinegar mix, and parsley, and mix the ingredients on setting medium-low speed until well combined and mixture has smearable consistency. If the spread seems dry, add more mayonnaise. Add salt and vinegar to taste.
Transfer to a serving bowl and garnish with chives.