Transporting Livestock Across America Safely Act This bill requires the Department of Transportation to amend regulations on hours of service for commercial drivers who transport live covered animals (i.e., livestock, honey bees, insects, fish, and crawfish) within a 300 air-mile radius from where the on-duty time of the driver begins. The regulations must: (1) exclude from the driver's on-duty time certain activities, such as loading or unloading a commercial motor vehicle; (2) change the driving time requirement to a maximum of not less than 15, and not more than 18, hours within a 24-hour period; (3) permit the driver to take one or more rest periods during the trip, which shall not be included in the calculation of the driving time; (4) require the driver, after completion of the trip, to take a rest break for a period that is five hours less than the maximum driving time; (5) exclude from the calculation of the driving time up to two additional hours, if the driver is within 150 air-miles of the point of delivery; and (6) make inapplicable the requirement that the driver take a 10-hour rest period before driving.