The amount that may be or may become due to any college, university, or institution shall be payable by the state treasurer to such institution from funds appropriated for carrying out the purposes hereof upon certification by the New England Board of Higher Education. Said board, before approving such vouchers, shall satisfy itself that such student would be unable to receive the course of instruction at any institution of public education in New Hampshire, and shall satisfy itself that the charge made by said institution is in accordance with the terms and conditions of the regional and/or reciprocal agreement in effect between the New England Board of Higher Education and the charging institution. The department of education, division of educator support and higher education shall examine and audit the accounts showing the payments made by the board under the authority of this section. In submitting the budget request made by it pursuant to the certification of the board as provided in N.H. Rev. Stat. § 200-A:5, the division shall forward with such request a report of such examination and audit, showing the details of such payments for the 2 fiscal years next preceding the time of said budget requests.