The lands within the recreation area, subject to valid existing rights, are hereby withdrawn from State selection under the Alaska Statehood Act or other law, and from location, entry, and patent under the United States mining laws. The Secretary under such reasonable regulations as he deems appropriate, may permit the removal of the nonleasable minerals from lands or interests in lands within the recreation area in the manner described by section
387 of title
43, and he may permit the removal of leasable minerals from lands or interests in lands within the recreation areas in accordance with the mineral leasing laws, if he finds that such disposition would not have significant adverse effects on the administration of the recreation areas.