In a sizable bowl, thoroughly mix the finely chopped ham with the premium mayonnaise and sweet pickle relish until the texture is uniformly cohesive. Adjust the flavor to your preference by incorporating additional mayonnaise for a smoother consistency or increasing the relish for heightened sweetness and tang. Present this deviled ham salad elegantly as a sandwich filling or as a rich spread served with crackers. To preserve its quality, keep the salad in an airtight container within the refrigerator, where it will retain its freshness for up to one week. Before each serving, stir well to redistribute the flavors and texture evenly.