In addition to the annual statement required by § 38.2-1300, the Commission shall require each nonstock corporation to file on a quarterly basis any additional reports, exhibits or statements the Commission considers necessary to furnish full information concerning the condition, solvency, experience, transactions or affairs of the nonstock corporation. The Commission shall establish deadlines for submitting additional reports, exhibits or statements. The Commission may require verification by any officers of the nonstock corporation the Commission designates.