The rules - rule 4(k) only allow one flight to and one from, the state of Alaska. The rules are silent on intra-state travel, so BRW would be okay, as would Adak, if you want to experience the Aleutian chain. (Personal hint - both BRW and ADK wouldn't be my choices.) Go to Nome and rent a vehicle with which to explore the road system that radiates from the town into the Seward Peninsula bush.

Alaska's Nome Area Wildlife Viewing Guide