The board may designate any capable person or appropriate public or private agency to supervise the acquittee on conditional release, subject to such conditions as the board sets in the order for conditional release. Prior to the designation, the board shall notify the person or agency to whom conditional release is contemplated and provide the person or agency with an opportunity to be heard before the board. After receiving an order of conditional release, the person or agency so designated shall assume supervision of the acquittee pursuant to the direction of the board.