Like you already said, the Stud the length you would like to use is bad. I would not stud the track.
If you are running where you need studs, you should probably have a track with a lower lug height. Running high lug height where it is icy will ruin the new track and hyfax. Having studs out in the powder, what that track is for, will catch junk and tear out, cause you are spinning the track out in the powder.
I guess you got to figure out where you really want to ride and set the sled up for those conditions. If you ride in extremely different conditions, then you need to set it up so that it works in both. So, ... Skip the studs if you are going out in the powder and keep the lug hight down if you are going to windup on icy trails. This type of compromise is why we have cross-over sleds like AC's Crossfire or Yamaha's Nytro XTX.