Combine turkey, 1 cup cheese, sauerkraut, breadcrumbs, egg white, mustard, salt and pepper in a large bowl and mix together with hands. Shape into 4 patties.
Heat propane grill on medium-high. Brush grill with canola oil to prevent sticking. Cook burgers, turning once, 4 to 5 minutes on each side or until cooked through. Toast rolls on the grill, and sprinkle burgers evenly with remaining cheese during the last two minutes of cooking.
For mustard sauce, whisk together canola oil, German mustard, vinegar and cranberries.
Place burgers on rolls, spread with mustard sauce and top with accompaniments.