First, I think it is important to mention that in most circumstances cooking with your balsamic vinegar will lose much of its flavor and complexion. So it is best used after a food is cooked.
Below is additional information about what each specific product pairs well with as written by the vineyard:
lightly seasoned cheeses, poultry, all kinds of salads, fruit, and ice cream
light & medium seasoned cheeses, poultry, cured meats, rice, vegetables, fruit, and ice cream
medium & extra seasoned cheeses, all types of meat, certain fish such salmon such as salmon & squid, rice, fruit, and ice cream