I'm not the slowest on the Dragon, but I'm also far from the fastest. I'm not there to get end to end the quickest. I enjoy the view on the straights and yearn for the tight switchbacks to hone technical skills. I keep a keen eye on the mirrors and when I see a fast mover, I immediately slow and hug the line to let them through.
Also, if you want to be a hero, should you see something in the road, stop at a safe spot and warn other riders as you move in to safely get it cleared from the road.
Last, ALWAYS hug the white line and stay away from the center line in a lean... make sure when you lean that your entire bike AND your body AND head are in YOUR lane. I've seen a lot of cars, trucks and other bikes who come around either on the double yellow or over it. Last year, my wife was run off her side of the road because some dumbarse HD rider came around the corner on HER side because he went too wide and hot into the corner. Thankfully, it was a runoff right there and where one of the photographers was parked.
It can be as fun as you make it... The key to the dragon is ride YOUR pace. Do not try to keep up with anyone else. Take a trip or two through at slow speeds to get to know the switchbacks and elevations, then work on the corners a bit harder.
Last, don't focus on the Dragon only. There are SOOO many great roads in that one area that really need to be driven/explored. 28, the Skyway, the Snake, Wayah Rd, the trip to Bridal Veil Falls, Indian Foothills Parkway, etc....