Except as provided in Alaska Stat. § 47.25.626(e), an individual who receives a determination from the department that denies, limits, or modifies home heating payments under Alaska Stat. § 47.25.62147.25.626, other than a determination based on insufficient funding of the program, may request a hearing before the office of administrative hearings (Alaska Stat. § 44.64.010) under regulations adopted by the department.