Yes, it's quite doable on skinny road tires (i.e. around 23mm). Here's one trip we did going up that route but then returning over Devil's Slide on Hwy. 1. Shows some pictures, but also the GPS tracklog on the map and you can zoom in to see the details of the route:
http://www.everytrail.com/view_trip.php?trip_id=609060