Sounds to me that you are having the opposite problem that most have. Do you brine? that may help. Otherwise just not sure what to make of it, but I am in no way a "turkey pro".
Weber Performer with rotisserie ring, 22.5OTS, Maverick 732, Weber Smokey Joe,PBC Smokenator/Hoovergrill, variety of microbrews, Gin and tonic, variety of lighters.