I would love to make that. Let us know what type of cheese you find is the best after you conclude your research.
My limited research shows people use mozzarella or sharp cheddar ... I'm thinking of using mozzarella next time.
In hind site the Cracker Barrel white cheddar I used did appear to be softer than normal cheddar when I cut off a sliver to taste. It tasted good but the consistency was different. Experimenting with different cheeses will be the fun part.