Preheat the oven to 300 degrees F. Line a baking sheet with aluminum foil. Place the ham on the baking sheet.
Stir together the jam, maple syrup, hot sauce, Dijon and pickle brine in a small pan over medium heat. Cook until everything is combined and the mixture is pourable, 2 to 3 minutes. Brush the mixture onto the ham, reserving any excess for a final glaze at the end.
Bake, rotating and basting the ham with the glaze and juices every hour, until browned on top and warmed through, 1 1/2 to 2 hours. Serve as mini sandwiches on the rolls with pickles.