The commissioner shall designate by regulation incompatible uses within the boundaries of the Chena River State Recreation Area in accordance with the requirements of AS 41.21.020(a)(13) and 41.21.470, and those incompatible uses designated shall be prohibited or restricted, as provided by regulation. The regulations may not prohibit
(1) work on valid mineral leases or mining claims;
(2) the legal taking of fur-bearing animals;
(3) the traditional use of roads and trails by any means of transportation, including a vehicle propelled by machinery, if the use occurred regularly in the area of the state recreation area before June 18, 1967;
(4) the cutting of dead and down or burnt timber.