Guys if it was a good idea to use GPS or IRS ground speed for unreliable airspeed it would already have been implemented in the unreliable airspeed procedure.
In my home base, it's common to have on final a tail wind of more than 20 kt around 2500 feet AGL and a headwind on landing... The wind speed and direction change dramatically.
GPS is a great tool, I used it as my primary nav instrument back in the days flying in the bush; But I would definitely not use it as a primary tool to recover from an unreliable airspeed.