In a saucepan placed on the griddle surface or side burner, whisk together the ingredients for the Ham BBQ Sauce, bringing it to a gentle simmer.
Meanwhile, on medium-low heat, place the deli sliced ham on the griddle. Use a scraper or spatulas to chop the ham into small pieces. Allow the ham to heat and brown for 2-3 minutes, then add the chopped ham to the BBQ sauce.
Mix the ham into the BBQ sauce and let it cook on low for 5 minutes. Serve on potato rolls, optionally toasting the rolls on the griddle if desired. You can also garnish the sandwiches with pickles and/or cheese, or enjoy as is.
