I live in Alaska (all my life). I agree with other messages, only 8 days choose a direction.
There is no way to see Alaska in 8 days , but you can experience some of the things make this a great place to live.
As an example I have live here all my life, I fly airplanes and my Dad flew commercially for 30 yrs and I can say that I been to nearly all the extreme areas of the state but still have many things on my to do list.
One of our favorite trips is a loop from Anchorage to Dawson to Whitehorse and back that takes us a week trying to fit fishing hiking in.
My wife is a photographer taking trips to Kaktovic to photograph Polar bears 9 day trip up the Dalton hwy and a flight out of prudhoe to Kaktovic. We are heading to Katmai to photo graph Brown bears only accessible by air $700 ea just air fare so just do what you can.
Everything is a long drive or flight, 6 hours just to drive to the entrance of Denali.
I would go South because everything North is a long distance between things to do or see.
Day 1 Anchorage to Whittier, Prine William Sound (26 Glacier Cruise) back in port by 6 PM. Drive to Seward 2 hours in a motor home. Camp either in PrimRose camp ground or into Seward.
Day 2 choose to go out fishing on a charter & Sea Life center or hike the Primrose/Lost Lake trail 16 miles can be done in 5 1/2 hour or 6 1/2 if you are taking your time. Or add a second day and do both
Day 3 drive Kenai sight seeing on the drive stop do some fishing.
Kenai River Scenic Float | Kenai River Trips
www.alaskarivertrips.com/rafting/kenai-river-scenic-float
A serene two-hour float along a non-motorized stretch of the scenic Upper Kenai River offers wildlife viewing opportunities and natural history interpretation.
Day 4 Homer plenty of things to do, this is good place to start choose something to do stay a day or two.
http://www.tripadvisor.com/Attractions-g31009-Activities-Homer_Alaska.html
Day 5, 6 or 7 depending how much time spent South; head back toward Anchorage take a few short trips.
Hatcher Pass camp see the mine hike mountains.
Palmer http://www.tripadvisor.com/Attraction_Review-g31086-d144679-Reviews-Musk_Ox_Farm-Palmer_Alaska.html
Eklutna is on the way so you can camp, hike the mountains, rent a kayak
Great way to relax before getting back on an airplane.
Just have fun playing in our back yard.
S Bradley
Navion IQ 24V