The department may promulgate regulations restricting possession on the waters of the state, except the marine and coastal district, of fish, except bait fish named in section 11-1315 of this title, that have been cleaned, filleted or skinned in such a manner that (a) the species of fish taken cannot be identified, (b) the number of fish taken cannot be determined, or (c) the length of fish taken cannot be ascertained. Such regulations shall initially provide that walleye, largemouth bass, smallmouth bass, brook trout and lake trout may not be so possessed if they have been dismembered, filleted or otherwise prepared for cooking or consumption beyond removal of the gills and viscera and that other species of fish may not be so possessed if they have been dismembered or otherwise prepared for cooking or consumption, except that the gills and viscera may be removed and such fish may be filleted, provided the skin is not removed from the fillet.