I would think you might be getting dried out. Try using AYR nasal spray and the gel (I get it at Walmart). You can also use face moisturizer. The air comes up underneath the full face helmet instead of straight at your face. Also make sure to drink fluids while riding.
Ride with the angels surrounding you.
Do you have a mustache or beard? My mustache drives me nuts like that when riding unless I do some serious trimming both to the mustache and nose hairs. Its that one wild hair that blows up into the nostril and has its way with your nerves.
Ok this is a weird thread but I will go with it. what did you wear before the full face helmet? I guess either no helmet or open face. I would try some moisturizing cream on your nose and face or sunblock before you ride.
It is possible that you are not driving fast enough I know for sure at 130MPH your nose will be your last concern.
Now that's funny as hell!! I recently started wearing a Neotec and noticed the same problem. I figured I had been scratching my nose alot when wearing an open face helmet, I just didn't notice doing so.