Pay Our Coast Guard Act of 2020 This bill provides FY2020 continuing appropriations to the U.S. Coast Guard for any period during which interim or full-year appropriations for the Coast Guard are not in effect. The appropriations are provided to the Coast Guard for pay and allowances for members of the Coast Guard, civilian employees, and contractors; and the payment of a death gratuity, funeral travel, and the temporary continuation of the basic allowance for housing for dependents of members of the Coast Guard dying on active duty. The appropriations are provided until the earlier of September 30, 2020, or the enactment of specified Coast Guard appropriations legislation.