The Department of Economic and Community Development, with the concurrence of the State Archaeologist, may examine sites and lands to determine if such sites or lands are of state or national archaeological importance and meet all the requirements for listing on the National Register (16 USC 470a) or the state register of historic places defined in section 10-410. Upon determination that any site or land investigated is of state or national archaeological importance, the department may declare such site or land to be a state archaeological preserve, provided (1) each property owner of any private site or land proposed for designation has been informed of the implications of the designation and consented in writing to such designation, (2) the state agency with custody or control of any public land has been notified in writing of the proposed designation, and (3) written recommendations on the proposal have been sent to the department by the State Archaeologist and, if there is evidence of Native American activity, the Native American Heritage Advisory Council established pursuant to section 10-382. The department shall cause notice of such designation to be filed on the land records in the town where such preserve is located.