The parkway's most majestic vistas are on the southern end, where the bulk of the tunnels are inclines are. IMO, get a campground near the parkway and spend a few days. Use your tow vehicle to explore the parkway and the parks. You will not be disappointed.
I just returned from a trip with a couple of couples and used our motorcycles to run the entire length of the parkway. We saw elk, deer, eagles, turkeys, and maybe a bear. And the area around Cherokee had lots of nice displays and shops. Food was outstanding.
I plan on returning to the area with my RV next time. Just amazing!
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2013 Ford C-Max w/Invis-a-Brake
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