I also have road coverage {why isn't it included with new cars?}  through Discount Tires {which may be American Tires in some areas}. 
One thing I've learned, don't pull it out!!! I go as quickly as I can to the shop.  
And, like you, katiesue, driving through construction areas always does me in.  Or, the Hubby when he is driving my car!!!  

 {4WD and he likes to use it...go figure}