In a medium bowl, blend together the ground beef, kosher salt and blue cheese to combine.
Divide the beef into four equal portions and shape into patties approximately 1/2 inch thick. Set aside.
Heat the grill.
Place the burgers on the grill and cook for 2-3 minutes. Flip the burgers and cook for an additional 2-3 minutes.
Brush the peach preserves over the burgers to coat and grill for an additional 1 minute or until the desired degree of doneness.
Allow the burgers to rest for 3-4 minutes.
While the burgers rest, whisk together the mayonnaise, mustard and honey.
Place one lettuce leaf on the bottom half of the hamburger roll and top with a burger patty.
Arrange a few peach slices and jalapeños, if using, on top of the burger.
Top with a tablespoon jalapeño mayonnaise and then the top of the burger roll.
Burger patties can be formed up to 24 hours in advance and refrigerated in an airtight container. Bring to room temperature before grilling.