I drove to Chattanooga, Tenn this weekend and did the same exact thing and I was able to maintain an AVERAGE speed of 80mph. You'd be surprised how you can simply avoid it by paying attention to your surrounding's. Driving home last night I knew there would be Franklin County Sherriff's sitting on 71, so I did my usual 80 in the open area's and once I saw the bridge coming up I stepped into the slow lane, 1/2 miles up all i saw were brake lights.
Only time('s) I have ever gotten a ticket is where I wasn't paying attention and/or distracted. I make this Chatanooga trip once a month and without a Radar detector. I still maintain an average speed of 80.