Most folks come up "too late" to do this, but a few years back when I was working, I drove a rig (18-wheeler) from Los Anchorage to Squarebanks, had some work done on the trailer (a tanker) in Squarebanks and headed out of Fairbanks in late afternoon.....
I caught the summer sun just right: it got a bit dusky just out of Squarebanks but my speed north was more than enough to offset the darkness and it was lighter in Prudhoe when I rolled in several hours later than it was in Fairbanks when I left. Since I hit the sack for quite a bit, I can't say if the sun went below the horizon at Prudhoe, but I didn't see a sunset until I hit Los Anchorage at about midnight a few days later on my return trip.
If one's vehicle is suitable, I'd recommend going as far up the "Haul Road" as possible: as noted above, there are areas of very different, but all spectacular scenery along the route and one will miss out on some degree of unique views if you can't take the entire route.
CRL
My RV is a 1946 PA-12
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