High Country Car & Truck Rental
3609 Spenard Road
Anchorage, AK 99503
907-562-8078
888-685-1155
This is the only car rental company in Anchorage that allows you to drive their car (full size and better) on Denali highway.
I did the research before I went to Alaska. It was true. ( Now I'm back. :) )
They will pick you up at the airport. You can also drop your car at the airport long term parking lot since they are not open 24 hours.