10 days, I'd split time between the Kenai Peninsula and taking a big lap from ANC past Denali, run the Denali Hwy (unless you're following the no dirt roads rules that come with most rentals), drop down to Glenallen and on to Chitina and Mc Carthy. The high tail it back to Anc.
Alternately, if that's too much driving, Kenai Peninsula and out to Mc Carthy and back, maybe visit Valdez.
10 days isn't alot of time, but enough to see enough to make indelible memories.
And I would plan on boondocking it 100% in the interior. Little tougher to do on the Kenai Peninsula, consider campgrounds I think. One great boondocking spot in Cooper Landing is Cooper Lake. You can count on finding a spot there....don't tell anyone.
Also, Hatcher Pass is a great area, mellow drive and close to Anc. Good way to spend a half day if you have time to kill back near town.
We lived up there for a summer. I was working full time, but took one 2 week vacation and several weekends camping, and we didn't even begin to see everything. So don't bite off more than you can chew. Like going to Fbks and back will kill 2 full days traveling. And Northern AK is awesome too, but IMO not making the cut for a less than 2 week excursion.
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